Question

An aeroplane drops a food packet from a height of 2000 m above the ground

while in horizontal flight at a constant speed of 200 kmh–1. How long does

the packet take to fall to the ground? How far ahead (horizontally) of the

point of release does the packet land?​

Answer 1

Answer :

a) 20 seconds

b) 1, 110 metres

_________________________________

Given :

• height ( h ) = 2000 m

• acceleration due to gravity ( g ) = 10 m/s²

• Speed ( u ) = 200 km/h = 55.5 m/s

To Find :

a) Time of descent

b) The horizontal distance between the point at which the food packet reaches the ground and the point above which it was dropped

Solution :

$\sf{\red{Time\:=\: \sqrt{\dfrac{2h}{g}}}}$

a) $\sf Time\:=\: \sqrt{\dfrac{2(2000)}{10}}$

$\:\:\: \sf Time\:=\: \sqrt{400}$

$\large\bold{\boxed{\sf{\pink{Time\:=\:20\:sec}}}}$

$\sf{\red{Range\:=\:u\: \times \: t}}$

b) $\sf Range\:=\: 55.5 \: \times \: 20$

$\large\bold{\boxed{\sf{\pink{ Range\:=\:1,110\:m}}}}$

_________________________