Answered: During service, a tennis ball is struck…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter6: Motion In Two Dimensions

Section: Chapter Questions

Problem 84A

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Question

During service, a tennis ball is struck at height h = 1.7 m above a tennis court and moves with velocity v₀ = v_0xi. Assume the ball encounters no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position.

Randomized Variables

h = 1.7 m
v_0x = 28.5 m/s

a.)How long, t_f in seconds, does the tennis ball move before striking the court?

b.)How far horizontally from the service position, x_f in meters, does the tennis ball move before striking the court?

Expert Solution

Step 1

The height is h=1.7 m

The velocity formula is,

$v_{0} = v_{o x} i$

The value of v_0x = 28.5 m/s

(a)

The time taken by the court is,

' $s = u t + \frac{1}{2} g t^{2} 1.7 = (0) t + \frac{1}{2} (9.8) t^{2} t^{2} = \frac{1.7 \times 2}{9.8} t = \sqrt{0.3469} t \approx 0.589 \sec$

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