Q.

A ball is dropped from a height of 49 m, the wind blows horizontally and imparts a constant acceleration of 4.90 ms-2 to the ball. Choose the correct statement(s).

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a

Path of the ball is a straight line.

b

Path of the ball is a curved one.

c

The time taken by the ball to reach the ground is 3.16 s.

d

The angle made by the line joining initial and final positions (on ground after 1st strike) of the ball with horizontal is greater than 45o.

answer is A.

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Detailed Solution

ux=uy=0,ax=4.9ms−2,ay=9.8ms−2So  x=12axt2and y=12ayt2       xy=axay=12So path of the ball is a straight line. Let t be the time taken by the ball to reach ground, then 49=12ayt2⇒t2=10⇒t=3.16stan⁡θ=ayax=2⇒θ=tan−1⁡(2)
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