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Question

A truck is moving with a constant velocity of 54 kmh1. In which direction (angle with the direction of motion of truck) should a stone be projected up with a velocity of 20 ms1, from the floor of the truck, so as to appear at right angles to the truck, for a person standing on earth?

A
cos1(34)
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B
cos1(14)
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C
cos1(23)
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D
cos1(34)
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Solution

The correct option is A cos1(34)
Let the stone be projected at an angle α to the direction of motion of truck with a speed of v=20ms1.
Since the resultant displacement along horizontal is zero, the velocity along horizontal is 0
15+20cosα=0
cosα=34
α=cos1(34)=138o35

1039954_985333_ans_eaa2733997a3429985efa94c4497af42.PNG

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