TP 4.23

Given:

x₀ = 0,  y₀ = 0, y = 0 (assuming that the origin of your coordinate system is located at the level the ball is thrown and caught

q = 35.0^o 

v₀ = 17.0 m/s                

Find:          (a) v_x    (b) t

Physics:     projectile motion

Solve:  

v_0x = v₀ cosq = (17.0 m/s) cos(35.0^o) = 13.9 m/s

v_0y = v₀ sinq = (17.0 m/s) sin(35.0^o) = 9.75 m/s

v_x = v_0x = 13.9 m/s

y = y₀ + v_0yt – ½ g t²

0 = 0 + v_0yt – ½ g t²

0 = t(v_0y – ½ g t)

v_0y – ½ g t = 0

t = 2 v_0y /g = 1.99 s