Question

A snowmobile moves according to the velocity-time graph shown in the drawing. What is the snowmobile's average acceleration during (a) segment A, (b) segment B, and (c) segment C?

Answer 1

(a). The average acceleration during segment A is 2 m/s²

(b). The average acceleration during segment B is zero.

(c). The average acceleration during segment C is 4 m/s².

Step-by-step explanation:

Given that,

A snowmobile moves according to the velocity-time graph ,

(a), We need to calculate the average acceleration during segment A

Using formula of average acceleration

`a=(v_(f)-v_(i))/(t_(2)-t_(1))`

Where,
`v_(i)` = initial velocity

`v_(f)` =final velocity

`t_(i)` = initial time

`t_(f)` =final time

Put the value into the formula

`a=(40-0)/(20-0)`

`a=2\ m/s^2`

(b). We need to calculate the average acceleration during segment B

Using formula of average acceleration

`a=(v_(f)-v_(i))/(t_(2)-t_(1))`

Put the value into the formula

`a=(40-40)/(50-20)`

`a=0\ m/s^2`

(c). We need to calculate the average acceleration during segment C

Using formula of average acceleration

`a=(v_(f)-v_(i))/(t_(2)-t_(1))`

Put the value into the formula

`a=(80-40)/(60-50)`

`a=4\ m/s^2`

Hence, (a). The average acceleration during segment A is 2 m/s²

(b). The average acceleration during segment B is zero.

(c). The average acceleration during segment C is 4 m/s².