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Standard XII

Physics

Instantaneous Force and Impulse

A body falls ...

Question

A body falls freely from a height of50 m. Simultaneously, another body is thrown from a surface of the earth with a certain initial velocity. The two bodies meet at a height of10 m. What is the initial velocity of the second body?

4.9 m/s

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9.8 m/s

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17.5 m/s

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19.6 m/s

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Solution

The correct option is C 17.5 m/s
let ball $A$ dropped from top
ball $B$ thrown up with velocity u
time taken by $A$ to travel $s_{A} = 50 - 10 = 40$
$\frac{g t^{2}}{2} = 40$
$t = 2.85 s$

$S_{B} = 10, t = 2.85$
$s_{B} = u t - \frac{g t^{2}}{2}$
$10 = u \times 2.85 - 40$
$u = \frac{50}{2.85}$
$u = 17.5 m / s$

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A body falls freely from a height of50 m. Simultaneously, another body is thrown from a surface of the earth with a certain initial velocity. The two bodies meet at a height of10 m. What is the initial velocity of the second body?

The correct option is C 17.5 m/slet ball A dropped from top ball B thrown up with velocity utime taken by A to travel sA=50−10=40 gt22=40 t=2.85sSB=10,t=2.85sB=ut−gt2210=u×2.85−40u=502.85u=17.5m/s