A roller coaster is moving at 10 m/s at the top of a hill and 22 m/s at the bottom of the hill two seconds later.Explain how to find the average acceleration of the roller coaster, then find the average acceleration.
6 m/s
To find the average acceleration of an object, you need to calculate the change in velocity divided by the time it took for that change to occur. In this case, the change in velocity is the difference between the roller coaster's velocity at the bottom of the hill and its velocity at the top of the hill.
First, calculate the change in velocity:
Change in velocity = Final velocity - Initial velocity
In this case:
Final velocity = 22 m/s
Initial velocity = 10 m/s
Change in velocity = 22 m/s - 10 m/s
Change in velocity = 12 m/s
Next, calculate the time it took for the change in velocity to occur. From the information given, the time is given as two seconds.
Finally, divide the change in velocity by the time to find the average acceleration:
Average acceleration = Change in velocity / Time
In this case:
Average acceleration = 12 m/s / 2 s
Average acceleration = 6 m/s²
Therefore, the average acceleration of the roller coaster is 6 m/s².