In a circus act, an acrobat rebounds upward from a trampoline at the exact moment that another acrobat, perched 9.0 m above him, releases a ball from rest. While still in flight, the first acrobat catches the ball just as it reaches him. If he left the trampoline with a speed of 8.0 m/s, how long is he in the air before he catches the ball?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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In a circus act, an acrobat rebounds upward from a trampoline at the exact moment that another acrobat, perched 9.0 m above him, releases a ball from rest. While still in flight, the first acrobat catches the ball just as it reaches him. If he left the trampoline with a speed of 8.0 m/s, how long is he in the air before he catches the ball?

Expert Solution
Step 1

Ball is release from the rest, Therefore, 

S =ut+12gt2

Initial velocity =u =0

g=-9.8ms2 (Negative due to downward direction)

Therefore, 

S=12gt2=12×(-9.8ms2)×t2=-4.9 t2

Distance can't be negative, therefore - 

S=4.9 t2 .....(1) 

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