Physics

To determine how far horizontally the skier will travel before hitting the ground when jumping off a ramp at a 30° angle with a speed of 25 m/s from a height of 10 meters, we can follow these steps:

 

Given Data

Launch Angle (): 30°

Initial Speed (): 25 m/s

Height of the Ramp (): 10 m

Acceleration due to Gravity (): 10 m/s²

 

Calculate the Time of Flight

The vertical motion can be described by the kinematic equation:

Setting (ground level):

Where :

Substituting this into the equation gives:

Rearranging leads to:

 

Use the Quadratic Formula

Now we can solve for using the quadratic formula:

Where: