Awater skier lets go of the tow rope upon leaving the end ofa
jump ramp at a speed of 14.0 m/s. the skier has a speed of 13.0m/s
at the highest point of the jump. ignoring air resistance, determine
the skier's height h above the tope of the ramp at thehighest
point.

1.35m

Explanation:

At the highest point of the jump, the vertical speed of the skier should be 0. So the 13m/s speed is horizontal, this speed stays the same from the jumping point to the highest point. The 14m/s speed at jumping point is the combination of both vertical and horizontal speeds.

The vertical speed at the jumping point can be computed:

When the skier jumps to the its potential energy is converted to kinetic energy:

where m is the skier mass and h is the vertical distance traveled, is the vertical velocity at jumping point, and h is the highest point.

Let g = 10m/s2

We can divide both sides of the equation by m:

where are the vectors ?