A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4.25 m/s. But 3.2 s later, at the bottom of the slope it's speed is 22.75 m/s what is its average acceleration
To find the average acceleration of the roller coaster car, we need to use the following equation:
Average acceleration = Change in velocity / Time taken
First, we need to find the change in velocity. The initial velocity is 4.25 m/s, and the final velocity is 22.75 m/s.
Change in velocity = Final velocity - Initial velocity
Change in velocity = 22.75 m/s - 4.25 m/s
Change in velocity = 18.5 m/s
Next, we need to determine the time taken. It is given that the time taken is 3.2 seconds.
Now we can use the formula to calculate the average acceleration:
Average acceleration = Change in velocity / Time taken
Average acceleration = 18.5 m/s / 3.2 s
Average acceleration = 5.78125 m/s²
Therefore, the average acceleration of the roller coaster car is 5.78125 m/s².