Aroller coaster has a mass of 300kg it drops from rest at the top of a hills that's 101m tall how fast is it going when it reaches the bottom?

To determine the velocity of the roller coaster as it moves down, we use the kinematic equation which is expressed as 2gy = vf^2 - v0^2 where g is the gravitational acceleration, y is the elevation of the roller coaster, vf and vo are the final and initial velocity. We calculate as follows:

2gy = vf^2 - v0^2

Since it starts at rest, v0 is zero.

2gy = vf^2
vf = √2gy
vf = √2(9.8)(101)
vf = 44.5 m/s > option B

26.4 is about the right time