Question

A computer connected to a motion sensor creates 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? A. 0.3 m/s2. B. 1 m/s2. C. 3 m/s2. D. The acceleration cannot be determined from the given information.

Answer 1

We are asked to determine the acceleration of an object which speed changes by 0.3 m/s every 1/10 seconds. The definition of acceleration is the following:

`a=(\Delta v)/(\Delta t)`

Where:

`\begin{gathered} \Delta v=\text{ change in velocity} \\ \Delta t=\text{ change in time} \end{gathered}`

Substituting the given values we get:

`a=(0.3(m)/(s))/((1)/(10)s)`

Solving the operations we get:

`a=3(m)/(s^2)`

Therefore, the acceleration is option C.