Question

A ball projected from ground vertically upwards is at same height at t1 and t2 . The speed of projection of the ball is [ Neglect the effect of air resistance ] ​

Answer 1

Let us say, the ball take Δt

time to reach at to most point 3 from point 1

The ball will take time Δt again to reach from portion 3 to portion 2

⇒ t

1

Δt+Δt=t

2

⇒ t

1

+2Δt=t

2

⇒ Δt=

2

t

2

−t

1

Let the projected speed of ball be it at position 3 the speed of ball =0

Applying I equation of motion

o=v−g(t

1

+Δt)

⇒ v=g(t

1

+Δt)

v=g(t

1

+

2

t

2

−t

1

)

⇒ v=g

2

(t

1

+t

2

)

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