What is the skier's launch speed?_____m/s?

Question

In the women's competition, the end of a typical launch ramp is directed 64 degrees above the horizontal. With this launch angle, a skier attains a height of 15 m above the end of the ramp. What is the skier's launch speed?

Answer 1

1/2 m v² = m g h

Thus, the vertical component of the velocity is

vy = sqrt ( 2 g h ) = sqrt ( ( 2 ) ( 9.8 m/s² ) ( 15 ) ) = 17 m/s.

Launch speed is then 17 m/s / sin 64 = 19 m/s.