The answer depends on the forces acting on the cart. Since you have chosen not to provide that information, it is not possible to give a more useful answer.
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The average velocity has two parts to it: The average speed and the average direction. The average speed is: (the distance you travel between 0 and 3 seconds) divided by (3). The average direction is: the direction from (the place where you started at 0 seconds) to (the place where you finished at 3 seconds).
Acceleration = (change in speed) / (change in time) = (30 m/s) / (10 sec) = 3 meters per second2
The acceleration cannot be determined with this information. The beginning and ending velocity needs to be known. You can determine her average velocity, however. average velocity = displacement/time = (9mi - 3mi)/3s = 6m/3s = 2m/s
Acceleration is measured in distance per unit timer per unit time, or in SI units this is usually m/s/s or m/s^2. If an object's velocity increases by 15 m/s in five seconds this is an average acceleration of: 15 m/s / 5 s = 3 m/s/s
Acceleration = -20 mi/h^2