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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