An apple falls from an apple tree growing on a 20° slope.The apple hits the ground with an impact velocity of 16.2 m/s straight downward.What is the component of the apple's impact velocity parallel to the surface of the slope?
A) 5.5 m/s
B) 8.7 m/s
C) 12 m/s
D) 15 m/s

Question

Quizplus · Accepted Answer

The component of the apple's impact velocity parallel to the surface of the slope is equal to the horizontal component of its initial velocity. The horizontal component of the initial velocity is equal to the product of the initial velocity and the sine of the angle of the slope. Therefore, the component of the apple's impact velocity parallel to the surface of the slope is equal to 16.2 m/s * sin(20°) = 5.5 m/s.

An Apple Falls from an Apple Tree Growing on a 20°