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Question

A ball is rolled off the edge of a horizontal table at a speed of 4 m/s. It hits the ground after 0.4 second. Which statement given below is true(Take g=10m/s2)

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


Vertical component of velocity of ball at point P
vv = 0 + gt = 10 × 0.4 = 4 m/s
Horizontal component of velocity = inital velocity
vH = 4 m/s
So the speed with which it hits the ground
v = (vH2+vy2) = 42 m/s
and tan θ = vVvH =44 = 1 θ = 45
It means the ball hits the ground at an angle of 45 to the horizontal.
Height of the table h = 12 g t2 = 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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