Question

A basketball player threw the ball with an initial velocity of 30 m/s 30°above the horizontal.

a.How long it took the ball to land?

b.How high the ball flew?

c.What was its range?

Answer 1

given properties:

$v_o=30 \frac{m}{s}$

$\alpha = 30^o$

a) $t = \large\frac{2v_osin\alpha}{g}$ $=\large\frac{2*30*0.5}{10}$ $=3s$

b) $H_m = \large\frac{v_o^2sin^2\alpha}{2g}$ $= \large\frac{900*0.25}{2*10}$ $=11.25m$

c) $L=\large\frac{v_o^2sin2\alpha}{g}$ $=\large\frac{900*0.86}{10}$ $=78m$