A skier is gliding along at 2.55 m/s on horizontal, frictionless snow. He suddenly starts down a 17° incline.?
A skier is gliding along at 2.55 m/s on horizontal, frictionless snow. He suddenly starts down a 17° incline. His speed at the bottom is 18.37 m/s.
What is the length of the incline?
How long does it tahe him to reach the bottom?
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if the snow is frictionless, the acceleration down the plane is g sin theta where g is the accel due to gravity and theta is 17 deg
find accel from 9.8 sin 17
use this value of accel in the equation
vf^2=v0^2+2ad
vf=final speed = 18.37 m/s
v0=initial speed = 2.55 m/s
a=accel
d=distance
substitute values and solve for d
you can find acceleration from the defining relationshipe
accel = change in velocity /time
you know the accel from g sin theta
you know the change in velocity = 18.37-2.55
solve for t
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