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Q.

A truck is moving with a constant velocity of 54 kmh-1. In which direction (angle with the direction of motion of truck) should a stone be projected up with a velocity of 20 ms-1, from the floor of the truck, so as to appear at right angles to the truck, for a person standing on earth?

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a

cos−1⁡−34

b

cos−1⁡−14

c

cos−1⁡23

d

cos−1⁡34

answer is A.

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Detailed Solution

Let the stone be projected at an angle α to the direction of motion of truck with a speed of v = 20 ms-1. Since the resultant displacement along horizontal is zero, the velocity along horizontal is 0.15+20cos⁡α=0⇒ cos⁡α=−34⇒ α=cos−1⁡−34=138∘35′
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