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.

Respuesta :

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:

[tex]a=\frac{\Delta v}{\Delta t}[/tex]

Where:

[tex]\begin{gathered} \Delta v=\text{ change in velocity} \\ \Delta t=\text{ change in time} \end{gathered}[/tex]

Substituting the given values we get:

[tex]a=\frac{0.3\frac{m}{s}}{\frac{1}{10}s}[/tex]

Solving the operations we get:

[tex]a=3\frac{m}{s^2}[/tex]

Therefore, the acceleration is option C.