Question

Norma kicks a soccer ball from ground level with an initial velocity of 10.0 meters per second at an angle of 30.0° to the ground.

Use the vertical motion equation to determine the time spent in the air. Recall the Δy = 0. Round to the nearest hundredth.



sec

Answer 1

Vertical motion: Δy = (v0 sinθ) t - (1/2) g t^2 = 0.
Nonzero solution: t = 2 v0 sinθ / g.

v0 = 10.0 m/s, θ = 30°, sin30° = 0.5, g = 9.8 m/s^2:
t = 2(10.0)(0.5)/9.8 = 10/9.8 = 1.020408... s ≈ 1.02 s

Answer: 1.02 sec