What was the TOTAL final velocity of the golf ball directly before it hit the ground?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A golfer hits an approach shot with a velocity of 38.2 m/s at 50 degrees above the horizontal. The golf ball lands directly next to the hole, 5.50 m above the ball’s original position, and stops immediately.

What was the TOTAL final velocity of the golf ball directly before it hit the ground?

Expert Solution
Step 1

In the X-direction,

The ball’s velocity can be represented as,

Physics homework question answer, step 1, image 1

Here, v, u, a, and t represent the ball’s final velocity, the ball’s initial velocity, the ball’s acceleration, and the time, respectively.

The ball experiences no force in the X-direction; thus, its acceleration is zero.

The ball’s initial velocity in the X-direction can be represented as,

Physics homework question answer, step 1, image 2

Here, θ is the angle at which the ball is shot.

Thus,

Physics homework question answer, step 1, image 3

Substitute the relevant values.

Physics homework question answer, step 1, image 4

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