Question

a plane flying horizontally at 350 ms^-1 releases a package at an altitude of 1.5 * 10^3 m calculate:
1. how long does it take the package to reach the ground
2. how far will it move horizontally while falling

Answer 1

1)

$$h=\dfrac{1}{2}gt^2,$$ $$t=\sqrt{\dfrac{2h}{g}}=\sqrt{\dfrac{2\cdot1.5\cdot10^3\ m}{9.8\ \dfrac{m}{s^2}}}=17.5\ s.$$

2)

$$x=v_{0x}t=350\ \dfrac{m}{s}\cdot17.5\ s=6125\ m.$$