Question

A juggler throws balls vertically upwards with the same initial velocity in the air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws n balls per second, what is the maximum height the balls can reach?

(a) Depends on the velocity
(b) n times the height of one ball
(c) Independent of n
(d) 2n times the height of one ball

Answer 1

The correct answer is (a) Depends on the velocity.The maximum height the balls can reach when thrown by a juggler depends on the initial velocity, not the number of balls thrown per second.

Step-by-step explanation:

The maximum height that balls can reach when a juggler throws them vertically upwards depends on the initial velocity of the balls and not on the frequency (n) with which they are thrown. Since each ball is thrown with the same initial velocity, and given that the balls are thrown one at a time when the previous one reaches its highest point, the maximum height is determined by the initial velocity and acceleration due to gravity, which are constants for all balls regardless of the number of balls (n) thrown per second.

The maximum height the balls can reach does not depend on the number of balls thrown per second (n) or the initial velocity.