Answer to Question #216844 in Physics for Ashley Jean

Question

how much time will it take for a ball to reach its maximum height it it was given initial speed of 120ft/s and its angle of inclination is 32 degrees?

Answer 1

Let the initial speed be $v_0 = 120ft/s \approx 36.58m/s$, and the angle of inclination $\theta = 32\degree$. Then the time it will take for a ball to reach its maximum height is (see https://courses.lumenlearning.com/boundless-physics/chapter/projectile-motion/):

$$t = \dfrac{v_0\sin\theta}{g}\\ t = \dfrac{36.58\cdot \sin32\degree}{9.81}\approx 1.98s$$

Answer. 1.98s.