Q.

A person is standing on a truck moving with a constant velocity of  14.7 m/s  on a horizontal road. The man throws a ball in such a way that it returns to the truck after the truck has moved 58.8 m.

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a

Angle of projection is  53°  with horizontal seen from ground

b

Speed of ball is  19.6 m/s  upward as seen from truck

c

Speed of ball is  19.6 m/s  upward as seen from road

d

Angle of projection is  30°  with horizontal seen from truck

answer is A, D.

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Detailed Solution

Angle of projection as seen from the truck =90°
Time taken by truck :  t=svt=58.814.7=4s
 u=tg2sinθ=4×9.82×1=19.6m/s
As seen from the road  v=ux2+uy2=vt2+u2
 θ=tan1(19.614.7)=tan1(1.33)=53°

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