For Problems 39 draw a complete pictorial representation. Do not solve these problems or do any mathematics. A speed skater moving across frictionless ice at 8.0 m/s hits a 5.0-m-wide patch of rough ice. She slows steadily, then continues on at 6.0 m/s. What is her acceleration on the rough ice?

How many significant figures does each of the following numbers have? a. 9.90 b. 0.99 c. 0.099 d. 99

How many significant figures does each of the following numbers have? a. 0.0044 b. 4.40 X \(10^{-4}\) c. 440 d. 2.90

Is the particle in FIGURE Q1.3 speeding up? Slowing down? Or can you tell? Explain.

Does the object represented in FIGURE Q1.4 have a positive or negative value of \(a_x\)? Explain.

Does the object represented in FIGURE Q1.5 have a positive or negative value of \(a_y\)? Explain.

Determine the signs (positive, negative, or zero) of the position, velocity, and acceleration for the particle in FIGURE Q1.6.

Determine the signs (positive, negative, or zero) of the position, velocity, and acceleration for the particle in FIGURE Q1.7.

For Problems 34 draw a complete pictorial representation. Do not solve these problems or do any mathematics. A jet plane is cruising at 300 m/s when suddenly the pilot turns the engines up to full throttle. After traveling 4.0 km, the jet is moving with a speed of 400 m/s. What is the jet’s acceleration as it speeds up?

For Problems 35 draw a complete pictorial representation. Do not solve these problems or do any mathematics. A Porsche accelerates from a stoplight at 5.0 m/\(s^2\) for five seconds, then coasts for three more seconds. How far has it traveled?

For Problems 36 draw a complete pictorial representation. Do not solve these problems or do any mathematics. Sam is recklessly driving 60 mph in a 30 mph speed zone when he suddenly sees the police. He steps on the brakes and slows to 30 mph in three seconds, looking nonchalant as he passes the officer. How far does he travel while braking?

For Problems 37 draw a complete pictorial representation. Do not solve these problems or do any mathematics. A car starts from rest at a stop sign. It accelerates at 4.0 m/\(s^2\) for 6.0 s, coasts for 2.0 s, and then slows at a rate of 2.5 m/\(s^2\) for the next stop sign. How far apart are the stop signs?

For Problems 38 draw a complete pictorial representation. Do not solve these problems or do any mathematics. Santa loses his footing and slides down a frictionless, snowy roof that is tilted at an angle of \(30^{\circ}\). If Santa slides 10 m before reaching the edge, what is his speed as he leaves the roof?

For Problems 39 draw a complete pictorial representation. Do not solve these problems or do any mathematics. A speed skater moving across frictionless ice at 8.0 m/s hits a 5.0-m-wide patch of rough ice. She slows steadily, then continues on at 6.0 m/s. What is her acceleration on the rough ice?

For Problems 40 draw a complete pictorial representation. Do not solve these problems or do any mathematics. A motorist is traveling at 20 m/s. He is 60 m from a stoplight when he sees it turn yellow. His reaction time, before stepping on the brake, is 0.50 s. What steady deceleration while braking will bring him to a stop right at the light?

For Problems 41 draw a complete pictorial representation. Do not solve these problems or do any mathematics. A car traveling at 30 m/s runs out of gas while traveling up a \(10^{\circ}\) slope. How far up the hill will the car coast before starting to roll back down?

For Problems 42 draw a complete pictorial representation. Do not solve these problems or do any mathematics. A Porsche challenges a Honda to a 400 m race. Because the Porsche’s acceleration of 3.5 m/\(s^2\) is greater than the Honda’s 3.0 m/\(s^2\), the Honda gets a 1.0 s head start. Who wins?

For Problems 43 draw a complete pictorial representation. Do not solve these problems or do any mathematics. David is driving a steady 30 m/s when he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady 2.0 m/\(s^2\) at the instant when David passes. How far does Tina drive before passing David?

Problems 44 show a motion diagram. For each of these problems, write a one or two sentence “story” about a real object that has this motion diagram. Your stories should talk about people or objects by name and say what they are doing. Problems 34 through 43 are examples of motion short stories.

Problems 45 show a motion diagram. For each of these problems, write a one or two sentence “story” about a real object that has this motion diagram. Your stories should talk about people or objects by name and say what they are doing. Problems 34 through 43 are examples of motion short stories.

Problems 46 show a motion diagram. For each of these problems, write a one or two sentence “story” about a real object that has this motion diagram. Your stories should talk about people or objects by name and say what they are doing. Problems 34 through 43 are examples of motion short stories.

Problems 47 show a motion diagram. For each of these problems, write a one or two sentence “story” about a real object that has this motion diagram. Your stories should talk about people or objects by name and say what they are doing. Problems 34 through 43 are examples of motion short stories.

Problems 48 show a motion diagram. For each of these problems, write a one or two sentence “story” about a real object that has this motion diagram. Your stories should talk about people or objects by name and say what they are doing. Problems 34 through 43 are examples of motion short stories.

Problems 49 show a partial motion diagram. For each: a. Complete the motion diagram by adding acceleration vectors. b. Write a physics problem for which this is the correct motion diagram. Be imaginative! Don’t forget to include enough information to make the problem complete and to state clearly what is to be found. c. Draw a pictorial representation for your problem.

Problems 50 show a partial motion diagram. For each: a. Complete the motion diagram by adding acceleration vectors. b. Write a physics problem for which this is the correct motion diagram. Be imaginative! Don’t forget to include enough information to make the problem complete and to state clearly what is to be found. c. Draw a pictorial representation for your problem.

Problems 51 show a partial motion diagram. For each: a. Complete the motion diagram by adding acceleration vectors. b. Write a physics problem for which this is the correct motion diagram. Be imaginative! Don’t forget to include enough information to make the problem complete and to state clearly what is to be found. c. Draw a pictorial representation for your problem.

Problems 52 show a partial motion diagram. For each: a. Complete the motion diagram by adding acceleration vectors. b. Write a physics problem for which this is the correct motion diagram. Be imaginative! Don’t forget to include enough information to make the problem complete and to state clearly what is to be found. c. Draw a pictorial representation for your problem.

As an architect, you are designing a new house. A window has a height between 140 cm and 150 cm and a width between 74 cm and 70 cm. What are the smallest and largest areas that the window could be?

A regulation soccer field for international play is a rectangle with a length between 100 m and 110 m and a width between 64 m and 75 m. What are the smallest and largest areas that the field could be?

A 5.8-cm-diameter cylinder has a length of 15.5 cm. What is the cylinder’s volume in basic SI units?

An intravenous saline drip has 4.5 g of sodium chloride per liter of water. By definition, 1 mL = 1 \(cm^3\). Express the salt concentration in kg/\(m^3\).

The quantity called mass density is the mass per unit volume of a substance. What are the mass densities in basic SI units of the following objects? a. A 245 \(cm^3\) solid with a mass of 0.0159 kg b. 82 \(cm^3\) of a liquid with a mass of 59 g

FIGURE P1.58 shows a motion diagram of a car traveling down a street. The camera took one frame every 10 s. A distance scale is provided. a. Measure the x-value of the car at each dot. Place your data in a table, similar to Table 1.1, showing each position and the instant of time at which it occurred. b. Make a position-versus-time graph for the car. Because you have data only at certain instants of time, your graph should consist of dots that are not connected together.

Write a short description of a real object for which FIGURE P1.59 would be a realistic position-versus-time graph.

Write a short description of a real object for which FIGURE P1.60 would be a realistic position-versus-time graph.