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A tennis player tosses a tennis ball straight up and then catches it after 1.71 s at the same height as the point of release.(a) Find the initial velocity of the ball.(b) Find the maximum height it reaches.

Question

A tennis player tosses a tennis ball straight up and then catches it after 1.71 s at the same height as the point of release.

(a) Find the initial velocity of the ball.

(b) Find the maximum height it reaches.

 

check_circleAnswer
Step 1

Given,

Time of flight T =1.71 s
Angle 0 90°
Gravity g 9.8 m/s
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Time of flight T =1.71 s Angle 0 90° Gravity g 9.8 m/s

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Step 2

(a) Initial velocity of the ball: -

By the formula of time of flight of projectile path:

2usine
Т-
or
Tg
и
2 sin e
1.71x9.8
и
2sin 90
u = 8.38 m/s
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2usine Т- or Tg и 2 sin e 1.71x9.8 и 2sin 90 u = 8.38 m/s

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Step 3

(b) Maximum height: -

By the formula of maximum height of projectile motion:

...
u
Н
sin e
2g
(8.38
Н
sin 900
2x9.8
H 3.58 m
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u Н sin e 2g (8.38 Н sin 900 2x9.8 H 3.58 m

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