 13.4.1: The table gives coordinates of a particle moving through space alon...
 13.4.2: The figure shows the path of a particle that moves with position ve...
 13.4.3: 38 Find the velocity, acceleration, and speed of a particle with th...
 13.4.4: 38 Find the velocity, acceleration, and speed of a particle with th...
 13.4.5: 38 Find the velocity, acceleration, and speed of a particle with th...
 13.4.6: 38 Find the velocity, acceleration, and speed of a particle with th...
 13.4.7: 38 Find the velocity, acceleration, and speed of a particle with th...
 13.4.8: 38 Find the velocity, acceleration, and speed of a particle with th...
 13.4.9: 914 Find the velocity, acceleration, and speed of a particle with t...
 13.4.10: 914 Find the velocity, acceleration, and speed of a particle with t...
 13.4.11: 914 Find the velocity, acceleration, and speed of a particle with t...
 13.4.12: 914 Find the velocity, acceleration, and speed of a particle with t...
 13.4.13: 914 Find the velocity, acceleration, and speed of a particle with t...
 13.4.14: 914 Find the velocity, acceleration, and speed of a particle with t...
 13.4.15: 1516 Find the velocity and position vectors of a particle that has ...
 13.4.16: 1516 Find the velocity and position vectors of a particle that has ...
 13.4.17: 1718 (a) Find the position vector of a particle that has the given ...
 13.4.18: 1718 (a) Find the position vector of a particle that has the given ...
 13.4.19: The position function of a particle is given by . When is the speed...
 13.4.20: What force is required so that a particle of mass has the position ...
 13.4.21: A force with magnitude 20 N acts directly upward from the plane on...
 13.4.22: Show that if a particle moves with constant speed, then the velocit...
 13.4.23: A projectile is fired with an initial speed of 200 ms and angle of ...
 13.4.24: Rework Exercise 23 if the projectile is fired from a position 100 m...
 13.4.25: A ball is thrown at an angle of to the ground. If the ball lands 90...
 13.4.26: A gun is fired with angle of elevation . What is the muzzle speed i...
 13.4.27: A gun has muzzle speed . Find two angles of elevation that can be u...
 13.4.28: A batter hits a baseball 3 ft above the ground toward the center fi...
 13.4.29: A medieval city has the shape of a square and is protected by walls...
 13.4.30: Show that a projectile reaches threequarters of its maximum height...
 13.4.31: A ball is thrown eastward into the air from the origin (in the dire...
 13.4.32: A ball with mass 0.8 kg is thrown southward into the air with a spe...
 13.4.33: Water traveling along a straight portion of a river normally flows ...
 13.4.34: Another reasonable model for the water speed of the river in Exerci...
 13.4.35: A particle has position function . If , where is a constant vector,...
 13.4.36: . (a) If a particle moves along a straight line, what can you say a...
 13.4.37: 37 42 Find the tangential and normal components of the acceleration...
 13.4.38: 37 42 Find the tangential and normal components of the acceleration...
 13.4.39: 37 42 Find the tangential and normal components of the acceleration...
 13.4.40: 37 42 Find the tangential and normal components of the acceleration...
 13.4.41: 37 42 Find the tangential and normal components of the acceleration...
 13.4.42: 37 42 Find the tangential and normal components of the acceleration...
 13.4.43: The magnitude of the acceleration vector is . Use the figure to est...
 13.4.44: If a particle with mass moves with position vector , then its angul...
 13.4.45: The position function of a spaceship is and the coordinates of a sp...
 13.4.46: A rocket burning its onboard fuel while moving through space has ve...
Solutions for Chapter 13.4: Motion in Space: Velocity and Acceleration
Full solutions for Calculus: Early Transcendentals  7th Edition
ISBN: 9780538497909
Solutions for Chapter 13.4: Motion in Space: Velocity and Acceleration
Get Full SolutionsCalculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Chapter 13.4: Motion in Space: Velocity and Acceleration includes 46 full stepbystep solutions. Since 46 problems in chapter 13.4: Motion in Space: Velocity and Acceleration have been answered, more than 31181 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Absolute value of a real number
Denoted by a, represents the number a or the positive number a if a < 0.

Annuity
A sequence of equal periodic payments.

Combinations of n objects taken r at a time
There are nCr = n! r!1n  r2! such combinations,

Commutative properties
a + b = b + a ab = ba

Compounded k times per year
Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

Distance (in Cartesian space)
The distance d(P, Q) between and P(x, y, z) and Q(x, y, z) or d(P, Q) ((x )  x 2)2 + (y1  y2)2 + (z 1  z 2)2

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

First octant
The points (x, y, z) in space with x > 0 y > 0, and z > 0.

Graphical model
A visible representation of a numerical or algebraic model.

Instantaneous rate of change
See Derivative at x = a.

Interval notation
Notation used to specify intervals, pp. 4, 5.

Line of symmetry
A line over which a graph is the mirror image of itself

nth power of a
The number with n factors of a , where n is the exponent and a is the base.

Octants
The eight regions of space determined by the coordinate planes.

Quartile
The first quartile is the median of the lower half of a set of data, the second quartile is the median, and the third quartile is the median of the upper half of the data.

Rational zeros
Zeros of a function that are rational numbers.

Right circular cone
The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

Summation notation
The series a nk=1ak, where n is a natural number ( or ?) is in summation notation and is read "the sum of ak from k = 1 to n(or infinity).” k is the index of summation, and ak is the kth term of the series

Vertical component
See Component form of a vector.

Vertices of an ellipse
The points where the ellipse intersects its focal axis.