The velocity of an object is +47 meters per second at 3.0 seconds and is +65 meters per second at 12.0 seconds. The average acceleration of the object is 2.0 m/s to the fourth power
average accelrtation = change in velocity/change in time
= (65-47)m/s/(12-3)s
= 2 m/s^2
seconds squared, not to the fourth
To find the average acceleration of the object, we can use the formula:
average acceleration = (final velocity - initial velocity) / time
We are given the initial velocity at 3.0 seconds as +47 m/s and the final velocity at 12.0 seconds as +65 m/s. We also know that the time interval is 12.0 seconds - 3.0 seconds = 9.0 seconds.
Plugging these values into the formula, we can calculate the average acceleration as follows:
average acceleration = (+65 m/s - +47 m/s) / 9.0 s
Before we can subtract the velocities, we need to make sure both velocities have the same sign. Since the initial velocity is positive and the final velocity is also positive, we don't need to change anything.
Now we can subtract the velocities:
average acceleration = (+65 m/s - +47 m/s) / 9.0 s
average acceleration = +18 m/s / 9.0 s
Finally, we divide the resulting velocity difference by the time interval to get the average acceleration:
average acceleration = +18 m/s / 9.0 s
average acceleration = +2.0 m/s²
Therefore, the average acceleration of the object is +2.0 m/s².