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Question

A ball is rolled off along the edge of table (horizontal) with velocity 4m/s−1. It hits the ground after time 0.4s. Which one of the following statement is wrong?
(Take g=10ms−1)

A
The height of the table is 0.8m
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B
It hits the ground at angle of 60o with the vertical
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C
It covers a horizontal distance 1.6m from the table
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D
It hits the ground with vertical velocity 4ms1
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Solution

The correct option is B It hits the ground at angle of 60o with the vertical
Consider motion in vertical direction,
given, uy=0,t=0.4s,ux=4m/s
height, h=uy×t+12gt2=8m
final vertical velocity, vy=uy+gt=4m/s
final horizontal velocity, vx=ux=4m/s
tanθ=vxvy=44=1
θ=45o
horizontal distance, =uxt=4×0.4=1.6m
So, all options are having right data except option(B).
Hence, the correct option is (B)


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