In a downhill ski race, your final velocity is not affected very much by getting a running start, because the initial kinetic energy is small compared with the gain in gravitational potential energy on even small hills. However, you will finish the race much faster (which is more important!). To demonstrate this, find the final speed and the time taken for a skier who skies 65 m along a slope that is 17°, measured from horizontal, in the following situations (you may neglect friction). A: Find the final speed (in m/s) of the skier starting from rest.  B: How long (in s) does it take for the skier to reach the bottom of this hill starting from rest?  C:Find the final speed (in m/s) of the skier starting with a speed of 2.50 m/s.  D: How long (in s) does it take for the skier to reach the bottom of this hill with a starting speed of 2.50 m/s?

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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In a downhill ski race, your final velocity is not affected very much by getting a running start, because the initial kinetic energy is small compared with the gain in gravitational potential energy on even small hills. However, you will finish the race much faster (which is more important!). To demonstrate this, find the final speed and the time taken for a skier who skies 65 m along a slope that is 17°, measured from horizontal, in the following situations (you may neglect friction).

A: Find the final speed (in m/s) of the skier starting from rest. 

B: How long (in s) does it take for the skier to reach the bottom of this hill starting from rest? 

C:Find the final speed (in m/s) of the skier starting with a speed of 2.50 m/s. 

D: How long (in s) does it take for the skier to reach the bottom of this hill with a starting speed of 2.50 m/s? 

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