Question

What’s the answer for during which time frame is the acceleration the most

Answer 1

The acceleration in a time interval is given by the ratio of the total change in the velocity to the time taken.

Considering the 1st option,

The time interval is Δt=8-4=4 s

From the graph the change in the velocity during this period is

`\Delta v=4-4=0\text{ m/s}`

Thus the acceleration in this interval is

`\begin{gathered} a=(\Delta v)/(\Delta t) \\ =(0)/(4) \\ 0m/s^2 \end{gathered}`

Considering the second option,

The time interval is Δt=20-12=8 s

The change in the velocity in this interval is

`\Delta v=`

Considering the 3rd option,

The time interval is Δt=12-10=2 s