A ball is rolled off the edge of a horizontal table at a speed of 4 ms-1. It hits the ground after 0.4 s.Which statement given below is true?
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a
It hits the ground at a horizontal distance 1.6 m from the edge of the table.
b
The speed with which it hits the ground is 4.0 ms-1
c
Height of the table is 1m.
d
It hits the ground at an angle of 60° to the horizontal.
answer is A.
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Detailed Solution
Vertical component of velocity of ball at point P.uV=0+gt = 10 X 0.4 = 4ms-1Horizontal component of velocity = initial velocity⇒ vH=4 m/sSo, the speed with which it hits the ground,v=vH2+vV2=42 m/sand tanθ=vVvH=44=1⇒θ=45°It means the ball hits the ground at an angle of 450 to the horizontal.Height of the table h=12gt2=12×10×(0.4)2=0.8 mHorizontal distance travelled by the ball from the edge of table h=ut=4×0.4=1.6 m