Question

Roller coasters accelerates from initial speed of 6.0 M/S2 final speed of 70 M/S over four seconds. What is the acceleration?

Answer 1

`a=16\ m/s^2`

Step-by-step explanation:

Motion With Constant Acceleration

It's a type of motion in which the velocity of an object changes uniformly in time.

The formula to calculate the change of velocities is:

`v_f=v_o+at`

Where:

a = acceleration

vo = initial speed

vf = final speed

t = time

The roller coaster moves from vo=6 m/s to vf=70 m/s in t=4 seconds. To calculate the acceleration, solve for a:

`\displaystyle a=(v_f-v_o)/(t)`

`\displaystyle a=(70-6)/(4)=(64)/(4)`

`\boxed{a=16\ m/s^2}`