HELP! A golf back is struck so that it leaves the head of the club with a speed of 50.0ms at an angle of 30.0° to the ground. What is the maximum height reached by the golf ball? ASSUME AIR RESISTANCE IS NEGLIGIBLE.

Question

anonymous · Answer

In order to find out the maximum height, we only need concern ourselves with vertical motion.

We can use some simple geometry to find out the vertical component of velocity:|dw:1422866253026:dw|
So the vertical velocity is 25 m/s.

Gravity will be the force that decelerates the ball on its upward flight. We can use a kinematic equation to solve for when the ball comes to a stop (reaches the top of its flight).

Vf^2 = Vi^2 + 2AX

We will take Vf to be 0 m/s, as this is at the top of the flight. A = g = -9.8 m/s^2. 

0 = (25)^2 - (2)(9.8)X
-625 = -19.6 X

X = 31.89 m

The max height of the ball will be 31.89 m.