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Question: An aeroplane is moving with a velocity\(u\). It drops a packet from a height \(h\). The time \(t\) t...

An aeroplane is moving with a velocityuu. It drops a packet from a height hh. The time tt taken by the packet in reaching the ground will be

A

(2gh)\sqrt{\left( \frac{2g}{h} \right)}

B

(2ug)\sqrt{\left( \frac{2u}{g} \right)}

C

(h2g)\sqrt{\left( \frac{h}{2g} \right)}

D

(2hg)\sqrt{\left( \frac{2h}{g} \right)}

Answer

(2hg)\sqrt{\left( \frac{2h}{g} \right)}

Explanation

Solution

The initial velocity of aeroplane is horizontal, then the vertical component of velocity of packet will be zero.

So t=2hgt = \sqrt{\frac{2h}{g}}