   Chapter 5, Problem 75AP

Chapter
Section
Textbook Problem

A ski jumper starts from rest 50.0 m above the ground on a frictionless track and flies off the track at an angle of 45.0° above the horizontal and at a height of 10.0 m above the level ground. Neglect air resistance, (a) What is her speed when she leaves the track? (b) What is the maximum altitude she attains after leaving the track? (c) Where does she land relative to the end of the track?

(a)

To determine
The speed of the ski jumper when she leaves the track.

Explanation

Given Info:

The height with which the ski jumper starts is 50.0m .

The inclination of the track is 45.0° .

The end of the track is 10.0m above from the ground.

According to conservation of mechanical energy,

KEf+PEg,f=KEi+PEg,i

Since the ski driver is starting from rest, the initial kinetic energy of the ski jumper is zero. Thus,

12mvf2+mghf=0+mghi

• vf is the final velocity of the skier
• m is the mass of skier
• g is acceleration due to gravity
• hi is the initial height of the skier form ground
• hf is the final height of the skier

On re-arranging,

Formula to calculate the speed of the

(b)

To determine
The maximum altitude that the skier attain after leaving the track.

(c)

To determine
where the skier land in accordance with end of the track.

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