At the starting gate of a downhill ski race, a skier pushes with his arms and le

Question

At the starting gate of a downhill ski race, a skier pushes with his arms and legs to get as fast a start as possible. The skier leaves the starting gate with an initial speed of 1.60m/s
The race course is made up of both steep and flat sections. A the end of the first flat section, the vertical distance from the skier to the finish line is 80.0m and the skier has a speed of 20.0m/s. At the end of the steepest section, the skier reaches his maximum speed of 33.3m/s (120km/h). The mass of the skier is 68.2kg.

a)The magnitude of impulse on the skier as he leaves the starting gate is?

Explanation / Answer

Given: skier leaves the starting gate with an initial speed of = v1= 1.60m/s
At the end of the first flat section,  skier has a speed of = v2 = 20.0m/s. At the end of the steepest section , skier reaches his maximum speed of   = v3= 33.3m/s Mass of the skier = m = 68.2 kg since , change of mometum of the skier as he leaves the starting gate only ,the obove two velocities are sufficient to cal. the change in momentum . because , the ckange in mometun = Impulse                    thus, Impulse = change in momentum = m(v2-v1)                                           = 68.2(20-1.6) kgm/s                   so,impulse = 1254.88 kgm/s (as he leaves the starting gate )

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