Question

A ski jumper speed down a slope and exits the ski track in a horizontal direction with a velocity of 25 m/s where the landing inclines falls off with a slope of 33 degrees.

1. What is the halftime of flight of the ski jump?

2. What is the range of the ski jumper when it lands?

Answer 1

Given:

$v_0=25\:\rm m/s$

$\theta=33^{\circ}$

1. the halftime of flight

$$t=\frac{v_0\sin\theta}{g}=\frac{25\sin33^{\circ}}{9.8}=1.4\:\rm s$$

2. the range

$$R=\frac{v_0^2\sin2\theta}{g}=\frac{25^2\sin66^{\circ}}{9.8}=58\:\rm m$$