Question

A speed-time graph is shown below:

A Speed versus Time graph is shown with y-axis labeled position in centimeters per second up to 5 and x-axis labeled time in seconds up to 8. A straight line connects the points 0, 0 and 4, 4. A horizontal line connects points 4, 4 and 8, 4.

What is the average acceleration of the object represented in the graph above over the eight seconds?

0.5 cm/s2
1.0 cm/s2
1.5 cm/s2
2.0 cm/s2

Answer 1

Answer: $0.5 m/s^{2}$

Explanation:

Average acceleration $a_{ave}$ is the variation of velocity $\Delta V$ over a specified period of time $\Delta t$:

$a_{ave}=\frac{\Delta V}{\Delta t}}$

Where:

$\Delta V=V_{f}-V_{o}$ being $V_{o}=0 cm/s$ the initial velocity and $V_{f}=4 cm/s$ the final velocity  (according to the information given from the described graph)

$\Delta t=8 s$

Then:

$a_{ave}=\frac{4 cm/s -0 cm/s}{8 s}}$

$a_{ave}=0.5 m/s^{2}$

Answer 2

Answer:

0.5

Explanation: