Q.

A car starts from rest and accelerates at 5 m/s2. At t = 4 s, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at t = 6 s? (Take g = 10 m/s2)

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a

20 m/s, 5 m/s2

b

20 m/s, 0

c

202 m/ s, 10 m/ s2

d

202 m / s, 0

answer is A.

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Detailed Solution

Velocity of the car at t = 4 sec is
Vx = at = 4 × 5 = 20 m/s
So horizontal velocity = 20 m/s (remain constant)
Vertical velocity at t = 6 sec
i.e. after 2 sec of free fall
Vy = gt = 20 m/s
So net velocity =202+202=202m/s
and once it starts falling acceleration is only ‘g’
i.e., 10 m/s2

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