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
(B) The speed with which it hits the ground is 4.0 m/second
(C) Height of the table is 0.8 m
(D) It hits the ground at an angle of 60° to the horizontal
Answers
Q1)
a is the correct answer
let the height of the table be h meters. Initial vertical velocity of the ball is = u = 0.
the ball has a constant speed of 4 m/s in the horizontal direction. It is accelerated by g in the vertically downward direction.
h = u t + 1/2 g t² let g = 10 m/s²
= 0 + 1/2 * 10 * 0.4² = 0.8 meters
The horizontal distance covered by the ball from table in 0.4 sec
= 4 m/s * 0.4 sec = 1.6 meters
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Option (A) is correct.
When a ball rolled off the edge of a horizontal table at a certain speed and it hits the ground after some time, then the distance covered by ball is:
Distance covered by ball = Speed of the ball × Time taken by the ball to reach ground
Distance = 4 × 0.4
Distance = 1.6 m.