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Solved: Juggling Act. A juggler performs in a room whose
Chapter 2, Problem 87P(choose chapter or problem)
Problem 87P
Juggling Act. A juggler performs in a room whose ceiling is 3.0 m above the level of his hands. He throws a ball upward so that it just reaches the ceiling. (a) What is the initial velocity of the ball? (b) What is the time required for the ball to reach the ceiling? At the instant when the first ball is at the ceiling, the juggler throws a second ball upward with two-thirds the initial velocity of the first. (c) How long after the second ball is thrown do the two balls pass each other? (d) At what distance above the juggler’s hand do they pass each other?
Questions & Answers
QUESTION:
Problem 87P
Juggling Act. A juggler performs in a room whose ceiling is 3.0 m above the level of his hands. He throws a ball upward so that it just reaches the ceiling. (a) What is the initial velocity of the ball? (b) What is the time required for the ball to reach the ceiling? At the instant when the first ball is at the ceiling, the juggler throws a second ball upward with two-thirds the initial velocity of the first. (c) How long after the second ball is thrown do the two balls pass each other? (d) At what distance above the juggler’s hand do they pass each other?
ANSWER:
Solution 87P
Step 1:
Given data
Height above from the hands of the juggler (h) = 3m
Problem (a)
Step 1:
To find the initial velocity of the ball
Formula
Where v - final velocity
u - initial velocity