A juggler throws balls vertically upwards with same initial velocity in air. When first ball reaches

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2.Motion in Straight Line

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

A

$g / 2 n$

B

$g / n$

C

$2 g n$

D

$g / 2 n^{2}$

(JEE MAIN-2022)

Solution

Time taken by ball to reach highest point $=\frac{ u }{ g }$

Frequency of throw $=\frac{ g }{ u }= n$

$u =\frac{ g }{ n }$

$H _{\max }=\frac{ u ^{2}}{2 g }=\frac{\left(\frac{ g }{ n }\right)^{2}}{2 g }$

$\frac{g}{2 n^{2}}$

Standard 11

Physics

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