1.) a ski jump is angled at 40° and the skier is launched at 25 m/s. a.) what was her highest
point above the end of the ramp? b.)how much time does it take her to reach the highest point?

A) 13.2 m

The motion of the skier is a projectile motion, which consists of two independent motions:

- a horizontal motion with constant speed

- a vertical motion with constant acceleration (acceleration of gravity) downward

To find the maximum height of her trajectory, we are only concerned with her vertical motion.

The initial vertical velocity upward is

then we can use the following SUVAT equation:

where

is the final vertical velocity, which is zero at the maximum height

is the initial vertical velocity

h is the maximum height

Solving for h,

B) 1.64 s

The time needed to reach the highest point can be found by analyzing again the vertical motion only. In fact, we can use the  following SUVAT equation:

where

At the maximum height, the vertical velocity is zero:

So we can solve the equation to find the corresponding time: