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 22…

Question

asked Dec 21, 2021 225k views

1 Answer

Rodrigo Amaro Reveco · Answer 1 · 2021-12-28T19:28:07+0000

Answer:

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:

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