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  4. A juggler maintains four balls in motion, making each of them to rise a height of 20 m from his hand. What time interval should he maintain, for the proper distance between them

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Q. A juggler maintains four balls in motion, making each of them to rise a height of $20 \,m$ from his hand. What time interval should he maintain, for the proper distance between them

Motion in a Straight Line

Solution:

From $v^2 = u^2 - 2as$ we have
$0 = u^2 - 2 (10) (20)$
or $u = 20 \,m/s$
Also $v = u - at$
or $0 = 20 - 10 t$
or $t = 2 \,s$
So, the ball returns to the hand of the juggler after $4 \,s$.
To maintain proper distance, the balls must be thrown up at an interval of $\frac{4}{4}$ or $1\,s$