Question

An aeroplane moving horizontally with a speed of $180km/hr$ drops a food packet while flying at a height of $500m$.The horizontal range is:

• A. $670m$
• B. $980m$
• C. $500m$
• D. $180m$

Answer 1

The correct option is C $500m$

Time taken by packet to arrive on the ground $t$,
$h=0\times t+\frac{1}{2}g{t}^2$
$t=\sqrt{\frac{2h}{g}}$
$t=\sqrt{\frac{2\times 500}{10}}=\sqrt{100}=10sec$
Distance travelled by the packet in horizontal direction during the same time,
$D=u\times t=180\times \frac{5}{18}\times 10=500m$