DYNAMICS:

a skier starts at the top of a 30m hill ta an anle of 20 degrees. the skier goes straight down the firctionless slope. How long will it take the skier to get to the bottom?

1 answer

The distance that he has to ski is
D = 30m/sin20 = 87.7 m

The acceleration component down the slope is g sin 20 = 3.35 m/s^2

D = (1/2)*(3.35) t^2 = 87.7 m
t^2 = 52.35 s^2
t = 7.2 seconds