Question

During which time period was the acceleration of the car the greatest?

a.) 5-8 seconds

b.) 0-2 seconds

c.) 2-3 seconds

d.) 3-5 seconds

Answer 1

C.) 2-3 seconds
And I know this is right

Answer 2

c.) 2-3 seconds

Step-by-step explanation:

Acceleration is defined as the ratio of change in velocity per unit time:

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

In a velocity-time graph, like the one attached here, acceleration corresponds to the slope of the curve.

Let's calculate the acceleration of the car in the different sectors:

a) 5-8 seconds:
`a=(4 m/s-4 m/s)/(8 s-5 s)=0`

b) 0-2 seconds:
`a=(5 m/s-0 m/s)/(2 s-0 s)=2.5 m/s^2`

c) 2-3 seconds:
`a=(2 m/s-5 m/s)/(3 s-2 s)=-1.5 m/s^2`

d) 3-5 seconds:
`a=(4 m/s-2 m/s)/(5 s-3 s)=1.0 m/s^2`

So, the acceleration is greatest in c) 2-3 seconds (the negative sign means it is a deceleration)