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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 3 / Problem 17E

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Answer: A major leaguer hits a baseball so that it leaves

Chapter 3, Problem 17E

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QUESTION:

A major leaguer hits a baseball so that it leaves the bat at a speed of 30.0 m/s and at an angle of 36.9° above the horizontal. You can ignore air resistance. (a) At what two times is the baseball at a height of 10.0 m above the point at which it left the bat? (b) Calculate the horizontal and vertical components of the baseball’s velocity at each of the two times calculated in part (a). (c) What are the magnitude and direction of the baseball’s velocity when it returns to the level at which it left the bat?

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QUESTION:

A major leaguer hits a baseball so that it leaves the bat at a speed of 30.0 m/s and at an angle of 36.9° above the horizontal. You can ignore air resistance. (a) At what two times is the baseball at a height of 10.0 m above the point at which it left the bat? (b) Calculate the horizontal and vertical components of the baseball’s velocity at each of the two times calculated in part (a). (c) What are the magnitude and direction of the baseball’s velocity when it returns to the level at which it left the bat?

ANSWER:

Step 1 of 4

(a). Consider the motion of equation

$s=ut+1/2\ a{t}^{2}$

Here u is vertical component of velocity,t is elapsed time,a is acceleration in vertical direction, s is vertical displacement of ball above the point where it left the base ball.

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