Home Physics Motion in a Straight Line Relative Motion An open elevator is ascending with zero acce…
Physics Motion in a Straight Line Relative Motion MCQ (Single Correct)

An open elevator is ascending with zero acceleration and speed 10 m/s. A ball is thrown vertically up by a boy (boy is in elevator) when he is at a height 10 m from the ground, the velocity of projection is 30m/s with respect to elevator. Choose correct option(s) assuming height of the boy very small : (g = 10 m/s 2 )

A
Maximum height attained by the ball from ground is 90 m.
B
Maximum height attained by the ball with respect to lift from the point of projection is 45 m.
C
Time taken by the ball to meet the elevator again is 6 sec
D
The speed of the ball when it comes back to the boy is 20 m/s with respect to ground.

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The correct answer is:
CHECK THE SOLUTION

(a,b,c,d)

Absolute velocity of ball = 40 m/s (upwards)

h max = h i = f f = 10 +

h = 90 m

Maximum height from lift = = 45 m

The ball unless meet the elevator again when displacement of ball = displacement of lift

40 t – × 10 × t 2 = 10 × t ⇒ t = 6s.

with respect to elevator V ball = 30 m/s downward ∴ V ball with respect to ground = 30 – 10 = 20 m/s

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