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Question

A ball was thrown from height H and the ball hits the floor with velocity 10(^i^j) m/s, 1.5 sec after its projection. Find initial speed of ball.

A
105 m/s
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B
55 m/s
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C
15 m/s
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D
30 m/s
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Solution

The correct option is B 55 m/s
Given that,
1.5 sec after projection,
vx=10^i
vy=10^ja=g^j=10^j
Now,
(uy)=vyat=10^j(10^j)×(1.5)
uy=5^j
As there is no acceleration in horizontal direction,
ux=vx=10^i
Initial velocity vector,
u=ux+uy=10^i+5^j|u|=55 m/s

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