Explanation Given: Alice throws a ball straight up with an initial speed of 40 feet per second from a height of 5 feet. Formula used: x = ( v o c o s θ ) t , y = − 1 2 g t ² + ( v o sin θ ) t + h Calculation: v o = 40 feet / sec , h = 5 feet , g = 32 feet / sec , θ = 90 ° a... To determine To find: b. How long is the ball in the air? To determine To find: c. When is the ball at its maximum height? Determine the maximum height of the ball. To determine To find: d. Simulate the motion of the ball by graphing the equations found in part a.

10th Edition

ISBN: 9780321979070

Author: Michael Sullivan

Publisher: PEARSON

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Chapter 10.7, Problem 50AYU

To determine

To find:

a. Find parametric equations that model the motion of the ball as a function of time.

To determine

To find:

b. How long is the ball in the air?

To determine

To find:

c. When is the ball at its maximum height? Determine the maximum height of the ball.

To determine

To find:

d. Simulate the motion of the ball by graphing the equations found in part a.

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Chapter 10.7, Problem 49AYU

Chapter 10.7, Problem 51AYU

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A graph of the function f is given below: Study the graph of f at the value given below. Select each of the following that applies for the value a = -4. f is defined at = a. f is not defined at 2 = a. If is continuous at x = a. Of is discontinuous at x = a. Of is smooth at x = a. f is not smooth at x = a. If has a horizontal tangent line at x = a. f has a vertical tangent line at x = a. Of has a oblique/slanted tangent line at x = a. Of has no tangent line at x = a. f(a + h) − f(a) h lim is finite. h→0 f(a + h) - f(a) lim is infinite. h→0 h f(a + h) - f(a) lim does not exist. h→0 h f'(a) is defined. f'(a) is undefined. If is differentiable at x = a. If is not differentiable at x = a.

Chapter 10 Solutions

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a. Find parametric equations that model the motion of the ball as a function of time.

Solution Summary: The author explains how Alice throws a ball straight up with an initial speed of 40 feet per second. The ball is in the air for 2.62 secs.

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To find: a. Find parametric equations that model the motion of the ball as a function of time.

To find: b. How long is the ball in the air?

To find: c. When is the ball at its maximum height? Determine the maximum height of the ball.

To find: d. Simulate the motion of the ball by graphing the equations found in part a.

Want to see the full answer?

Chapter 10 Solutions

Additional Math Textbook Solutions

To find:

a. Find parametric equations that model the motion of the ball as a function of time.

To find:

b. How long is the ball in the air?

To find:

c. When is the ball at its maximum height? Determine the maximum height of the ball.

To find:

d. Simulate the motion of the ball by graphing the equations found in part a.