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Question

A car is moving horizontally along a straight line with a uniform velocity of 25m/s. A projectile is fired vertically from car such that it returns to it, when car has moved 100m. The projected speed (g=10m/s2)

A
80m/s
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B
20m/s
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C
30m/s
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D
5m/s
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Solution

The correct option is B 20m/s
Given,
vx=25m/s
x=100m
Time required, T=xvx
T=10025
T=4s
So, Time of flight is 4s.
T=2usinθg
usinθ=Tg2
usinθ=4×102
vy=20m/s
The correct option is B.

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