A ball is launched with an inital velocity of 4.47 m/s at an angle of 66° above the horizontal. Calculate how long did it take the ball to return to its launching hike. Use - 9.80 m/s^2 for the acceleration due to gravity.

0.833 seconds

Explanation:

Given:

y₀ = 0 m

y = 0 m

v₀ = 4.47 sin 66° m/s

a = - 9.80 m/s²

Find: t

y = y₀ + v₀ t + ½ at²

0 = 0 + (4.47 sin 66°) t + ½ (-9.80) t²

0 = 4.08 t - 4.90 t²

0 = t (4.08 - 4.90 t)

t = 0, 0.833

It takes 0.833 seconds to return to its original launching height.