 3.5SL: You are driving south on a highway at 12 m/s (approximately ) 25 mi...
 3.6Q: If is V necessarily greater than and/or Discuss.
 3.7MCQ: You are riding in an enclosed train car moving at 90 km/h. If you t...
 3.7P: (II) Figure 3–33 shows two vectors, whose magnitudes are A = 6.8 un...
 3.7Q: Two vectors have length v1 =3.5 km and v2 =4.0 km. What are the max...
 3.8MCQ: Which of the three kicks in Fig. 3–32 is in the air for the longest...
 3.8P: (II) An airplane is traveling 835 km/h in a direction 41.5° west of...
 3.8Q: Can two vectors, of unequal magnitude, add up to give the zero vect...
 3.9MCQ: A baseball is hit high and far. Which of the following statements i...
 3.9P: (II) Three vectors are shown in Fig. 3–35. Their magnitudes are giv...
 3.9Q: Can the magnitude of a vector ever (a) equal, or (b) be less than, ...
 3.10MCQ: A hunter is aiming horizontally at a monkey who is sitting in a tre...
 3.10P: (II) (a) Given the vectors and shown in Fig. 3–35, Determine (b) De...
 3.10Q: Does the odometer of a car measure a scalar or a vector quantity? W...
 3.11MCQ: Which statements are not valid for a projectile? Take up as positiv...
 3.11P: (II) Determine the vector given the vectors and in Fig. 3–35.
 3.11Q: How could you determine the speed a slingshot imparts to a rock, us...
 3.12MCQ: 12. A car travels 10m/s east. Another car travels 10 m/s north. The...
 3.12Q: (II) For the vectors shown in Fig. 3–35, determine
 3.12R: In archery, should the arrow be aimed directly at the target? How s...
 3.13P: (II) For the vectors given in Fig. 3–35, determine
 3.13Q: It was reported in World War I that a pilot flying at an altitude o...
 3.14P: (II) Suppose a vector makes an angle with respect to the y axis. Wh...
 3.14Q: You are on the street trying to hit a friend in his dorm window wit...
 3.15P: (II) The summit of a mountain, 2450 m above base camp, is measured ...
 3.15Q: A projectile is launched at an upward angle of 30° to the horizonta...
 3.16P: (III) You are given a vector in the xy plane that has a magnitude o...
 3.16Q: A projectile has the least speed at what point in its path?
 3.17Q: Two cannonballs, A and B, are fired from the ground with identical ...
 3.17P: (I) A tiger leaps horizontally from a 7.5mhigh rock with a speed ...
 3.18P: (I) A diver running 2.5 m/s dives out horizontally from the edge of...
 3.18Q: A person sitting in an enclosed train car, moving at constant veloc...
 3.19P: (II) Estimate by what factor a person can jump farther on the Moon ...
 3.19Q: If you are riding on a train that speeds past another train moving ...
 3.20P: (II) A ball is thrown horizontally from the roof of a building 7.5 ...
 3.20Q: Two rowers, who can row at the same speed in still water, set off a...
 3.20R: (II) A ball thrown horizontally at 12.2 m/s from the roof of a buil...
 3.21Q: If you stand motionless under an umbrella in a rainstorm where the ...
 3.22P: (II) A football is kicked at ground level with a speed of 18.0 m/s ...
 3.23P: (II) A fire hose held near the ground shoots water at a speed of 6....
 3.24P: (II) You buy a plastic dart gun, and being a clever physics student...
 3.25P: (II) A grasshopper hops along a level road. On each hop, the grassh...
 3.26P: (II) Extremesports enthusiasts have been known to jump off the top...
 3.27P: (II) A projectile is fired with an initial speed of 36.6 m/s at an ...
 3.29P: (II) A shotputter throws the “shot” (mass = 7.3 kg) with an initia...
 3.30P: (II) A baseball is hit with a speed of 27.0 m/s at an angle of 45.0...
 3.31P: (II) A rescue plane wants to drop supplies to isolated mountain cli...
 3.32P: (III) Suppose the rescue plane of releases the supplies a horizonta...
 3.33P: (III) A diver leaves the end of a 4.0mhigh diving board and strik...
 3.33Q: (III) Show that the time required for a projectile to reach its hig...
 3.35P: (III) Suppose the kick in Example 3–6 is attempted 36.0m from the g...
 3.35Q: (III) Revisit Example 3–7, and assume that the boy with the slingsh...
 3.37P: (III) A stunt driver wants to make his car jump over 8 cars parked ...
 3.38P: (I) A person going for a morning jog on the deck of a cruise ship i...
 3.39P: (I) Huck Finn walks at a speed of 0.70 m/s across his raft (that is...
 3.40P: (II) Determine the speed of the boat with respect to the shore in E...
 3.41P: (II) Two planes approach each other headon. Each has a speed of an...
 3.42P: (II) A passenger on a boat moving at 1.70 m/s on a still lake walks...
 3.43P: (II) A person in the passenger basket of a hotair balloon throws a...
 3.44P: (II) An airplane is heading due south at a speed of 688 km/h. If a ...
 3.45P: (II) In what direction should the pilot aim the plane in so that it...
 3.46P: (II) A swimmer is capable of swimming 0.60 m/s in still water. (a) ...
 3.47P: (II) (a) At what upstream angle must the swimmer in aim, if she is ...
 3.49P: (II) A child, who is 45 m from the bank of a river, is being carrie...
 3.48P: (II) A boat, whose speed in still water is 2.50m/s, must cross a 28...
 3.50P: (III) An airplane, whose air speed is 580 km/h, is supposed to fly ...
 3.51P: (III) Two cars approach a street corner at right angles to each oth...
 3.35GP: On mountainous downhill roads, escape routes are sometimes placed t...
 3.54GP: A light plane is headed due south with a speed relative to still ai...
 3.55GP: An Olympic long jumper is capable of jumping 8.0 m. Assuming his ho...
 3.56GP: Romeo is throwing pebbles gently up to Juliet’s window, and he want...
 3.57GP: Apollo astronauts took a “nine iron” to the Moon and hit a golf bal...
 3.58GP: (a) A long jumper leaves the ground at 45° above the horizontal and...
 3.59GP: A projectile is shot from the edge of a cliff 115 m above ground le...
 3.60GP: William Tell must split the apple on top of his son’s head from a d...
 3.61GP: Raindrops make an angle ? with the vertical when viewed through a m...
 3.63GP: A hunter aims directly at a target (on the same level) 38.0 m away....
 3.65GP: When Babe Ruth hit a homer over the 8.0mhigh rightfield fence 98...
 3.64GP: The cliff divers of Acapulco push off horizontally from rock platfo...
 3.66GP: At serve, a tennis player aims to hit the ball horizontally. What m...
 3.67GP: Spymaster Chris, flying a constant 208 km/h horizontally in a lowf...
 3.68GP: A basketball leaves a player’s hands at a height of 2.10m above the...
 3.69GP: A boat can travel 2.20 m/s in still water. (a) If the boat points d...
 3.70GP: A projectile is launched from ground level to the top of a cliff wh...
 3.71GP: A basketball is shot from an initial height of 2.40m (Fig. 3–57) wi...
 3.72GP: A rock is kicked horizontally at 15 m/s from a hill with a 45° slop...
 3.73GP: A batter hits a fly ball which leaves the bat 0.90 m above the grou...
 3.75GP: If a baseball pitch leaves the pitcher’s hand horizontally at a vel...
 3.74GP: A ball is shot from the top of a building with an initial velocity ...
 3.1COQ: A small heavy box of emergency supplies is dropped from a moving he...
 3.1MCQ: You are adding vectors of length 20 and 40 units. Which of the foll...
 3.1P: (I) A car is driven 225 km west and then 98 km southwest (45°). Wha...
 3.1Q: (I) A car is driven 225 km west and then 98 km southwest (45°). Wha...
 3.1SL: Here is something to try at a sporting event. Show that the maximum...
 3.2MCQ: The magnitude of a component of a vector must be(a) less than or eq...
 3.2P: (I) A delivery truck travels 21 blocks north, 16 blocks east, and 2...
 3.2Q: Can you conclude that a car is not accelerating if its speedometer ...
 3.2SL: Two balls are thrown in the air at different angles, but each reach...
 3.3EA: If the two vectors of Example 3–1 are perpendicular to each other, ...
 3.3EB: What does the “incorrect” vector in Fig. 3–6c represent? something ...
 3.3EC: Two balls having different speeds roll off the edge of a horizontal...
 3.3ED: Where in Fig. 3–20 is
 3.3EE: Return to the ChapterOpening Question, page 49, and answer it agai...
 3.3EF: In Example 3–6, what is (a) the velocity vector at the maximum heig...
 3.3MCQ: You are in the middle of a large field. You walk in a straight line...
 3.3P: (I) If Vx =9.80 units and Vy =6.40 units, determine the magnitude ...
 3.3Q: Give several examples of an object’s motion in which a great distan...
 3.3SL: Show that the speed with which a projectile leaves the ground is eq...
 3.4MCQ: A bullet fired from a rifle begins to fall(a) as soon as it leaves ...
 3.4P: (II) Graphically determine the resultant of the following three vec...
 3.4Q: Can the displacement vector for a particle moving in two dimensions...
 3.4SL: The initial angle of projectile A is 30°, while that of projectile ...
 3.5MCQ: One ball is dropped vertically from a window. At the same instant, ...
 3.5P: (II) is a vector 24.8 units in magnitude and points at an angle of ...
 3.5Q: During baseball practice, a player hits a very high fly ball and th...
 3.3.1: A car is driven 225 km west and then 98 km southwest (45). What is ...
 3.1: A car is driven 225 km west and then 98 km southwest (45). What is ...
 3.3.2: A delivery truck travels 21 blocks north, 16 blocks east, and 26 bl...
 3.2: A delivery truck travels 21 blocks north, 16 blocks east, and 26 bl...
 3.3.3: If Vx = 9.80 units and Vy = 6.40 units,determine the magnitude and...
 3.3: (II) An airplane is traveling 835 km/h in a direction 41.5° west of...
 3.3.4: Graphically determine the resultant of the following three vector d...
 3.4: Graphically determine the resultant of the following three vector d...
 3.3.5: V is a vector 24.8 units in magnitude and points at an angle of 23....
 3.5: V is a vector 24.8 units in magnitude and points at an angle of 23....
 3.3.6: Vector is 6.6 units long and points along the negative x axis. Vect...
 3.6: Vector is 6.6 units long and points along the negative x axis. Vect...
 3.3.7: Figure 333 shows two vectors, and whose magnitudes are and Determin...
 3.7: Figure 333 shows two vectors, and whose magnitudes are and Determin...
 3.3.8: An airplane is traveling in a direction 41.5 west of north (Fig. 33...
 3.8: An airplane is traveling in a direction 41.5 west of north (Fig. 33...
 3.3.9: Three vectors are shown in Fig. 335. Their magnitudes are given in ...
 3.9: Three vectors are shown in Fig. 335. Their magnitudes are given in ...
 3.3.10: a) Given the vectors and shown in Fig. 335, determine (b) Determine...
 3.10: a) Given the vectors and shown in Fig. 335, determine (b) Determine...
 3.3.11: Determine the vector given the vectors and in Fig. 335.
 3.11: Determine the vector given the vectors and in Fig. 335.
 3.3.12: For the vectors shown in Fig. 335, determine
 3.12: For the vectors shown in Fig. 335, determine
 3.3.13: For the vectors given in Fig. 335, determine
 3.13: For the vectors given in Fig. 335, determine
 3.14: Suppose a vector makes an angle with respect to the y axis. What co...
 3.3.14: Suppose a vector makes an angle with respect to the y axis. What co...
 3.15: The summit of a mountain, 2450 m above base camp, is measured on a ...
 3.3.15: The summit of a mountain, 2450 m above base camp, is measured on a ...
 3.16: You are given a vector in the xy plane that has a magnitude of 90.0...
 3.3.16: You are given a vector in the xy plane that has a magnitude of 90.0...
 3.17: A tiger leaps horizontally from a 7.5mhigh rock with a speed of H...
 3.3.17: A tiger leaps horizontally from a 7.5mhigh rock with a speed of H...
 3.18: A diver running dives out horizontally from the edge of a vertical ...
 3.3.18: A diver running dives out horizontally from the edge of a vertical ...
 3.19: Estimate by what factor a person can jump farther on the Moon as co...
 3.3.19: Estimate by what factor a person can jump farther on the Moon as co...
 3.20: A ball is thrown horizontally from the roof of a building 7.5 m tal...
 3.3.20: A ball is thrown horizontally from the roof of a building 7.5 m tal...
 3.21: A ball thrown horizontally at from the roof of a building lands 21....
 3.3.21: A ball thrown horizontally at from the roof of a building lands 21....
 3.22: A football is kicked at ground level with a speed of at an angle of...
 3.3.22: A football is kicked at ground level with a speed of at an angle of...
 3.23: A fire hose held near the ground shoots water at a speed of At what...
 3.3.23: A fire hose held near the ground shoots water at a speed of At what...
 3.3.24: You buy a plastic dart gun, and being a clever physics student you ...
 3.24: You buy a plastic dart gun, and being a clever physics student you ...
 3.3.25: A grasshopper hops along a level road. On each hop, the grasshopper...
 3.25: A grasshopper hops along a level road. On each hop, the grasshopper...
 3.3.26: Extremesports enthusiasts have been known to jump off the top of E...
 3.26: Extremesports enthusiasts have been known to jump off the top of E...
 3.3.27: A projectile is fired with an initial speed of at an angle of 42.2 ...
 3.27: A projectile is fired with an initial speed of at an angle of 42.2 ...
 3.3.28: An athlete performing a long jump leaves the ground at a 27.0 angle...
 3.28: An athlete performing a long jump leaves the ground at a 27.0 angle...
 3.3.29: A shotputter throws the shot with an initial speed of at a 34.0 an...
 3.29: A shotputter throws the shot with an initial speed of at a 34.0 an...
 3.3.30: A baseball is hit with a speed of at an angle of 45.0. It lands on ...
 3.30: A baseball is hit with a speed of at an angle of 45.0. It lands on ...
 3.3.31: A rescue plane wants to drop supplies to isolated mountain climbers...
 3.31: A rescue plane wants to drop supplies to isolated mountain climbers...
 3.3.32: Suppose the rescue plane of releases the supplies a horizontal dist...
 3.32: Suppose the rescue plane of releases the supplies a horizontal dist...
 3.3.33: A diver leaves the end of a 4.0mhigh diving board and strikes the...
 3.33: A diver leaves the end of a 4.0mhigh diving board and strikes the...
 3.3.34: Show that the time required for a projectile to reach its highest p...
 3.34: Show that the time required for a projectile to reach its highest p...
 3.3.35: Suppose the kick in Example 36 is attempted 36.0 m from the goalpos...
 3.35: Suppose the kick in Example 36 is attempted 36.0 m from the goalpos...
 3.3.36: Revisit Example 37, and assume that the boy with the slingshot is b...
 3.36: Revisit Example 37, and assume that the boy with the slingshot is b...
 3.3.37: A stunt driver wants to make his car jump over 8 cars parked side b...
 3.37: A stunt driver wants to make his car jump over 8 cars parked side b...
 3.3.38: A person going for a morning jog on the deck of a cruise ship is ru...
 3.38: A person going for a morning jog on the deck of a cruise ship is ru...
 3.3.39: Huck Finn walks at a speed of across his raft (that is, he walks pe...
 3.39: Huck Finn walks at a speed of across his raft (that is, he walks pe...
 3.3.40: Determine the speed of the boat with respect to the shore in Exampl...
 3.40: Determine the speed of the boat with respect to the shore in Exampl...
 3.3.41: Two planes approach each other headon. Each has a speed of and the...
 3.41: Two planes approach each other headon. Each has a speed of and the...
 3.3.42: A passenger on a boat moving at on a still lake walks up a flight o...
 3.42: A passenger on a boat moving at on a still lake walks up a flight o...
 3.3.43: A person in the passenger basket of a hotair balloon throws a ball...
 3.43: A person in the passenger basket of a hotair balloon throws a ball...
 3.3.44: An airplane is heading due south at a speed of If a wind begins blo...
 3.44: An airplane is heading due south at a speed of If a wind begins blo...
 3.3.45: In what direction should the pilot aim the plane in so that it will...
 3.45: In what direction should the pilot aim the plane in so that it will...
 3.46: A swimmer is capable of swimming in still water. (a) If she aims he...
 3.3.46: A swimmer is capable of swimming in still water. (a) If she aims he...
 3.47: At what upstream angle must the swimmer in aim, if she is to arrive...
 3.3.47: At what upstream angle must the swimmer in aim, if she is to arrive...
 3.48: A boat, whose speed in still water is must cross a 285mwide river...
 3.3.48: A boat, whose speed in still water is must cross a 285mwide river...
 3.49: A child, who is 45 m from the bank of a river, is being carried hel...
 3.3.49: A child, who is 45 m from the bank of a river, is being carried hel...
 3.50: An airplane, whose air speed is is supposed to fly in a straight pa...
 3.3.50: An airplane, whose air speed is is supposed to fly in a straight pa...
 3.51: Two cars approach a street corner at right angles to each other (Fi...
 3.3.51: Two cars approach a street corner at right angles to each other (Fi...
 3.52: Two vectors, and add to a resultant Describe
 3.3.52: Two vectors, and add to a resultant Describe
 3.53: On mountainous downhill roads, escape routes are sometimes placed t...
 3.3.53: On mountainous downhill roads, escape routes are sometimes placed t...
 3.54: A light plane is headed due south with a speed relative to still ai...
 3.3.54: A light plane is headed due south with a speed relative to still ai...
 3.55: An Olympic long jumper is capable of jumping 8.0 m. Assuming his ho...
 3.3.55: An Olympic long jumper is capable of jumping 8.0 m. Assuming his ho...
 3.56: Romeo is throwing pebbles gently up to Juliets window, and he wants...
 3.3.56: Romeo is throwing pebbles gently up to Juliets window, and he wants...
 3.57: Apollo astronauts took a nine iron to the Moon and hit a golf ball ...
 3.3.57: Apollo astronauts took a nine iron to the Moon and hit a golf ball ...
 3.58: A long jumper leaves the ground at 45 above the horizontal and land...
 3.3.58: A long jumper leaves the ground at 45 above the horizontal and land...
 3.3.59: A projectile is shot from the edge of a cliff 115 m above ground le...
 3.59: A projectile is shot from the edge of a cliff 115 m above ground le...
 3.3.60: William Tell must split the apple on top of his sons head from a di...
 3.60: William Tell must split the apple on top of his sons head from a di...
 3.3.61: Raindrops make an angle with the vertical when viewed through a mov...
 3.61: Raindrops make an angle with the vertical when viewed through a mov...
 3.3.62: A car moving at passes a 1.00kmlong train traveling in the same d...
 3.62: A car moving at passes a 1.00kmlong train traveling in the same d...
 3.3.63: A hunter aims directly at a target (on the same level) 38.0 m away....
 3.63: A hunter aims directly at a target (on the same level) 38.0 m away....
 3.3.64: The cliff divers of Acapulco push off horizontally from rock platfo...
 3.64: The cliff divers of Acapulco push off horizontally from rock platfo...
 3.3.65: When Babe Ruth hit a homer over the 8.0mhigh rightfield fence 98 ...
 3.65: When Babe Ruth hit a homer over the 8.0mhigh rightfield fence 98 ...
 3.3.66: At serve, a tennis player aims to hit the ball horizontally. What m...
 3.66: At serve, a tennis player aims to hit the ball horizontally. What m...
 3.3.67: .Spymaster Chris, flying a constant horizontally in a lowflying he...
 3.67: . Spymaster Chris, flying a constant horizontally in a lowflying h...
 3.3.68: A basketball leaves a players hands at a height of 2.10 m above the...
 3.68: A basketball leaves a players hands at a height of 2.10 m above the...
 3.3.69: A boat can travel in still water. (a) If the boat points directly a...
 3.69: A boat can travel in still water. (a) If the boat points directly a...
 3.3.70: A projectile is launched from ground level to the top of a cliff wh...
 3.70: A projectile is launched from ground level to the top of a cliff wh...
 3.3.71: A basketball is shot from an initial height of 2.40 m (Fig. 357) wi...
 3.71: A basketball is shot from an initial height of 2.40 m (Fig. 357) wi...
 3.3.72: A rock is kicked horizontally at from a hill with a 45 slope (Fig. ...
 3.72: A rock is kicked horizontally at from a hill with a 45 slope (Fig. ...
 3.3.73: A batter hits a fly ball which leaves the bat 0.90 m above the grou...
 3.73: A batter hits a fly ball which leaves the bat 0.90 m above the grou...
 3.3.74: A ball is shot from the top of a building with an initial velocity ...
 3.74: A ball is shot from the top of a building with an initial velocity ...
 3.3.75: If a baseball pitch leaves the pitchers hand horizontally at a velo...
 3.75: If a baseball pitch leaves the pitchers hand horizontally at a velo...
Solutions for Chapter 3: Kinematics in Two Dimensions; Vectors
Full solutions for Physics: Principles with Applications  7th Edition
ISBN: 9780321625922
Solutions for Chapter 3: Kinematics in Two Dimensions; Vectors
Get Full SolutionsChapter 3: Kinematics in Two Dimensions; Vectors includes 265 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 265 problems in chapter 3: Kinematics in Two Dimensions; Vectors have been answered, more than 201388 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 7. Physics: Principles with Applications was written by and is associated to the ISBN: 9780321625922.

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parallel

any symbol
average (indicated by a bar over a symbol—e.g., v¯ is average velocity)

°C
Celsius degree

°F
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