# A roller coaster car rapidly picks up speed as it rolls down a slope. As it starts down the slope, its speed is 4 m/s. At the bottom of the slope, its speed is 22 m/s. What is its average acceleration?

Acceleration is defined as the rate of change of velocity. In other words,

a =  dv/dt

where a is the acceleration, dv is the change in velocity and dt is the change in time. This can also be simply written as:

acceleration = (final velocity - initial velocity) / (final...

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Acceleration is defined as the rate of change of velocity. In other words,

a =  dv/dt

where a is the acceleration, dv is the change in velocity and dt is the change in time. This can also be simply written as:

acceleration = (final velocity - initial velocity) / (final time - initial time)

In this case, the final velocity = 22 m/s and the initial velocity of the roller coaster is 4 m/s.

However, no time interval is given. Assuming that it takes the roller coaster 3 seconds to get to the final velocity, the time interval = 3 s.

Thus, average acceleration = (22 m/s - 4 m/s) / 3 s

= (18 m/s) / 3 s

= 6 m/s^2.

Thus, the roller coaster ride has an average acceleration of 6 m/s^2 over the given time duration.

Hope this helps.

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