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The initial velocity of the skier is 4.5 m/s
Explanation:
There is only one force acting on the skier in the horizontal direction, and it is the force of friction, whose magnitude is
where
is the coefficient of kinetic friction
m is the mass of the skier
is the acceleration of gravity
The negative sign is due to the fact that the direction of the force of friction is opposite to the direction of motion of the skier.
According to Newton's second law, the net force acting on the skier is equal to the product between his mass and his acceleration, so we can write:
So, the acceleration of the skier is
Now we can apply the following suvat equation to find the initial velocity of the skier:
where
v = 0 is the final velocity (he comes to a stop)
u is the initial velocity
s = 21 m is the displacement
a is the acceleration
Substituting the equation for the acceleration and solving for u, we find
Learn more about accelerated motion here:
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