Answer to Question #161030 in Mechanics | Relativity for mae

Question

a ball thrown from the top of 10m high building with a horizontal speed of 5m/s. (a) calculate the time it takes to drop to the floor. (b) its horizontal displacement at the point when it reaches the floor

Answer 1

(a)

$$y=\dfrac{1}{2}gt^2,$$ $$t=\sqrt{\dfrac{2y}{g}}=\sqrt{\dfrac{2\cdot10\ m}{9.8\ \dfrac{m}{s^2}}}=1.43\ s$$

(b)

$$x=v_{0x}t=5\ \dfrac{m}{s}\cdot1.43\ s=7.15\ m.$$