Question

A roller coaster car rapidly picks up speed as it rolls down a slope as it starts down the slope its speed is 4m/s but 3 seconds later at the bottom of the slope its speed is 22m/s what is its average acceleration

Answer 1

The acceleration is 6 [m/s^2]

Step-by-step explanation:

We can find the acceleration of the roller coaster using the kinematic equation for uniformly accelerated motion.

`v_(f) =v_(i) + a*t\\where:\\v_(f) = final velocity = 22 [m/s]\\v_(i) = initial velocity = 4 [m/s]\\t = time = 3 [s]\\`

Now replacing the values we have:

`a=(v_(f) - v_(i) )/(t) \\a=(22 - 4 )/(3)\\a = 6 [m/s^(2) ]`