# Problem: A juggler performs in a room whose ceiling is a height 3.1 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?(c) At the instant when the first ball is at the ceiling, he throws a second ball upward with two-thirds the initial velocity of the first. How long after the second ball is thrown did the two balls pass each other?(d) At what distance above the jugglers hand do they pass each other?

###### FREE Expert Solution
86% (347 ratings)
###### Problem Details

A juggler performs in a room whose ceiling is a height 3.1 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?
(c) At the instant when the first ball is at the ceiling, he throws a second ball upward with two-thirds the initial velocity of the first. How long after the second ball is thrown did the two balls pass each other?
(d) At what distance above the jugglers hand do they pass each other?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Catch/Overtake Problems concept. You can view video lessons to learn Catch/Overtake Problems. Or if you need more Catch/Overtake Problems practice, you can also practice Catch/Overtake Problems practice problems.

How long does this problem take to solve?

Our expert Physics tutor, Julia took 7 minutes and 52 seconds to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Jerousek's class at UCF.