Question

In: Physics

A ski jumper starts from rest 54.0 m above the ground on a frictionless track and...

A ski jumper starts from rest 54.0 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 19.0 m above the ground. Neglect air resistance.

(a) What is her speed when she leaves the track? m/s

(b) What is the maximum altitude she attains after leaving the track? m

(c) Where does she land relative to the end of the track? m

Solutions

Expert Solution

(a)

her speed when she leaves the track is

(b)

At the top of the parabolic arc the skier follows after leaving the track,

Applying conservation of mechanical energy from the end of the track to the top of the arc

(c)

the flight from the end of the track to the ground gives

this is the quadratic equation, the solution of the equation is

the skier has a horizontal displacement is


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