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Question

A ball is rolled off the edge of a horizontal table at a speed of 4 m/second. It hits the ground after 0.4 second. Which statement given below is true


A

It hits the ground at a horizontal distance 1.6 m from the edge of the table

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B

The speed with which it hits the ground is 4.0 m/second

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C

Height of the table is 0.8 m

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D

It hits the ground at an angle of 60o to the horizontal

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Solution

The correct option is C

Height of the table is 0.8 m


Vertical component of velocity of ball at point P.

vV = 0 + gt = 10 × 0.4 = 4m/s

Horizontal component of velocity = initial velocity

vH = 4m/s

So the speed with which it hits the ground

v=v2H+v2V=42 m/s and tan θ=vVvH=44=1θ=45o

It means the ball hits the ground at an angle of 45o to the horizontal.

Height of the table h=12gt2=12×10×(0.4)2=0.8m

Horizontal distance travelled by the ball from the edge of table h = ut = 4 × 0.4 = 1.6m


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