Answer to Question #317215 in Mechanics | Relativity for Feah

Question

A golf ball is driven with an initial velocity of 161 fps

upward at 30 ̊ to the horizontal from an elevated tee

64.4 feet above a level fairway. What horizontal

distance will the ball travel before hitting the fairway

Answer 1

Explanations & Calculations

• Gravitational acceleration in feet per sq. second is 32.17.

• With this value apply $\small s = ut +1/2at^2$ in the upward direction for the trajectory.

$\qquad\qquad \begin{aligned} \small -64.4&=\small 161\sin30t+\frac{1}{2}(-32.17)t^2\\ \small t &=\small 5.7\,s \end{aligned}$

• Apply that for the horizontal motion.

$\qquad\qquad \begin{aligned} \small R&=\small 161\cos30\times5.7\,s+0\\ &=\small 794.8\,m \end{aligned}$