Question:
A juggler throws balls into air. He throws one when ever the previous one is at its highest point. If he throws $ n $ balls each second, the height to which each ball will rise is
A juggler throws balls into air. He throws one when ever the previous one is at its highest point. If he throws $ n $ balls each second, the height to which each ball will rise is
Updated On: Jul 5, 2022
- $ \frac{g}{2n^{2}} $
- $ \frac{2g}{n^{2}} $
- $ \frac{2g}{n} $
- $ \frac{g}{4n^{2}} $
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The Correct Option is A
Solution and Explanation
Time taken by each ball to reach highest point, $ t=\frac{1}{n} $ second.
As the juggler throws the second ball, when the first ball is at its highest point, so $ v = 0 $
Using $ v = u + at $ , we have
$ 0 = u + (- g) (1 /n) $ or $ u = (g/n) $ . Also, $ v^2 = u^2 + 2as $
$ \therefore 0=\left(g/n^{2}\right)+2\left(-g\right)h $ or $ h=\frac{g}{2n^{2}} $
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.