A physics student skis down a hill, accelerating at a constant

2.0 m/s2

If it takes her 15 s to reach the bottom, what is the length of the

slope?

225 meters

Explanation:

Acceleration is the rate of change in velocity of an object in motion.

In our case we are given;

Acceleration, a = 2.0 m/s²

Time, t = 15 s

We are required to find the length of the slope;

Assuming the student started at rest, then the initial velocity, V₀ is Zero.

Step 1: Calculate the final velocity, Vf

Using the equation of linear motion;

Vf = V₀ + at

Therefore;

Vf = 0 + (2 * 15)

= 30 m/s

Thus, the final velocity of the student is 30 m/s

Step 2: Calculate the length (displacement) of the slope

Using the other equation of linear motion;

S = 0.5 at + V₀t

We can calculate the length, S of the slope

That is;

S = (0.5 * 2 * 15²) - (0 * 15)

= 225 m

Therefore, the length of the slope is 225 m