TP 4.40

Given:

x₀ = 0,  y₀ = 0, (assuming that the origin of your coordinate system is located at the water level)

q = 40.0^o 

v₀ = 12.0 m/s

moving horizontally when goes through the hoop         

Find:         y

Physics:    projectile motion

Solve:

v_0x = v₀ cosq = (12.0 m/s) cos(40.0^o) = 9.19 m/s

v_0y = v₀ sinq = (12.0 m/s) sin(40.0^o) = 7.71 m/s

v_y = 0 (when the dolphin goes through the hoop)

v_y²= v_0y²- 2 g (y - y₀)

0 = v_0y²- 2 g (y - 0)

0 = v_0y²- 2 g y

y = v_0y²/ (2 g) = (7.71 m/s)²/ (2 g) = 3.03 m