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Question

A man is standing on a cart moving with a constant velocity 10 m/s, facing the direction of motion, throws a ball vertically upwards at 5 m/s with respect to himself. Then as observed from ground the ball will follow

A
a straight line path
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B
a parabolic path
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C
a circular path
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D
Data insufficient
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Solution

The correct option is B a parabolic path
Let us take +ve x direction along the direction of motion of car.
velocity of cart w.r.t ground is vC,G=10 m/s ^i
velocity of ball with respect to cart is,
vB,C=5 m/s ^j
Hence, velocity of ball with respect to ground (vB,G) is,
vB,G=vB,C+vC,G
vB,G=5 m/s ^j+10 m/s ^i
aB,G=g ^j=10 m/s2 ^j

projected ball has velocity component in x & y directions w.r.t ground, and its acceleration is g downwards.
Ball will follow parabolic path (projectile motion) as observed from ground.
v=52+102=55 m/s is the speed of projection, and R is the range of ball.

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