Question

A skier begins skiing straight down a hill witha constant slope, starting from rest. If friction is negligible, as the skier goes down the hill, her:_______. a. acceleration is zero.
b. acceleration increases with time.c. acceleration is constant, with a value of roughly 10 m/s.
d. acceleration is constant, with a value less than 10 m/s

Answer 1

Answer:

acceleration is constant, with a value less than 10 m/s²

Explanation:

The force pushing her downward are his weight and the at an angle

The weight is given as

W=mg

The component of the weight along x axis is Wsin θ

Forward force is Wsin θ

This forward force is the only force acting on the x-axis since it frictionless

Then, using newton law

ΣF = ma

WSinθ=ma

mgSinθ=ma

Then, a=gSin θ

Since sinθ is always between 1 and -1

-1<=sinθ<=1

The only time a=g is when It is on a straight line and not an incline plane and since we are give an inclined plane

Then, a will be less that g

Where g is constant =10m/s²

So the correct answer is D