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Question

A ball is rolled off along the edge of table (horizontal) with velocity 3m/s. It hits the ground after time 0.4s. Which one of the following is wrong ?

A
The height of the table is 0.8m
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B
It hits the ground at an angle of 600 with the vertical.
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C
It covers a horizontal distance 1.2m from the table.
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D
It hits the ground with vertical velocity 4m/s.
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Solution

The correct option is B It hits the ground at an angle of 600 with the vertical.
Consider motion in vertical direction
given, uy=0,t=0.4s,ux=3m/s
height, h=uy×t+12gt2=8m
final vertical velocity, vy=uy+gt=4m/s
final horizontal velocity, vx=ux=3m/s
tanθ=vxvy=3/4
horizontal distance, =uxt=1.2m
resultant final velocity, v=v2x+v2y=5m/s
Hence answer is option (c)


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