Answer to Question #91089 in Mechanics | Relativity for Rose

Question

The hulk kicks a soccer ball with an initial velocity of 84m/s (30 degrees above horizontal)

a. What is the balls horizontal velocity?

B. What is the balls flight time?

C. What’s the balls maximum height?

D. How far forward does the ball hit the ground?

e. What’s the balls velocity when it hits the ground?

Answer 1

a.

$$v_x=v_0 \cos{30} =84\cos{30} =72.7\frac{m}{s}$$

b.

$$t=\frac{2v_0 \sin{30}}{g}=\frac{2(84) \sin{30}}{9.8}=8.6\ s$$

c.

$$h=\frac{(v_0 \sin{30})^2}{2g}=\frac{(84 \sin{30})^2}{2(9.8)}=90\ m$$

d.

$$R=\frac{(v_0)^2\sin{60}}{g}=\frac{(84)^2\sin{60}}{(9.8)}=624\ m$$

e.

$$v=v_0=84\frac{m}{s}$$

Direction is 30 degrees below horizontal.