Question

A computer connected to a motion sensor creates a velocity--time graph for a ball rolling down an incline. On the graph, the velocity increases by 0.3 m/s for every tenth of a second increment on the graph. What is the acceleration of the object?

Answer 1

3 m/s²

Step-by-step explanation:

The acceleration is equal to the change in velocity divided by the change in time. Since the velocity increases by 0.3 m/s for every tenth of a second, we can say that the change in velocity is 0.3 m/s and the change in time is 0.1 s, then the acceleration is equal to:

`a=(\Delta v)/(\Delta t)=\frac{0.3\text{ m/s}}{0.1\text{ s}}=3m/s^2`

Therefore, the acceleration of the object is 3 m/s²