A man in a balloon rising vertically with an acceleration of 5ms−2 r

1.	A man in a balloon rising vertically with an acceleration of 5ms−2 releases a ball 2 second after the balloon is let go from the ground. The greatest height above the ground reached by the ball is :
Answer» Height traveled by ball (with balloon) in 2 sec h₁=1/2at²=1/2×5×2²= 10 m Velocity of the balloon after 2 sec v = at = 5×2 = 10 m/s Now if the ball is released from the balloon then it acquire same velocity in upward direction. Let it move up to maximum height h₂ v²=u²−2gh₂ => 0=(10)²−2×(10)×h₂ ∴ h₂ = 5m Greatest height above the ground reached by the ball = h₁+h₂= 10+5 = 15 m

A man in a balloon rising vertically with an acceleration of 5ms−2 releases a ball 2 second after the balloon is let go from the ground. The greatest height above the ground reached by the ball is :

Answer»

Height traveled by ball (with balloon) in 2 sec

h₁=1/2at²=1/2×5×2²= 10 m

Velocity of the balloon after 2 sec

v = at = 5×2 = 10 m/s

Now if the ball is released from the balloon then it acquire same velocity in upward direction.

Let it move up to maximum height h₂

v²=u²−2gh₂

=> 0=(10)²−2×(10)×h₂

∴ h₂ = 5m

Greatest height above the ground reached by the ball = h₁+h₂= 10+5 = 15 m

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A man in a balloon rising vertically with an acceleration of 5ms−2 releases a ball 2 second after the balloon is let go from the ground. The greatest height above the ground reached by the ball is :

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