Question

A high-performance sports car can go from 0 to 100 mph (44.7 m/s) in 7.2 s.a. What is the car's average acceleration?b. The same car can come to a complete stop from 34 m/s in about 3.7 s. What is its average acceleration?

Answer 1

`\begin{gathered} (a)\text{ }6.21m\/s^2 \\ (b)\text{ -}9.19m\/s^2 \end{gathered}`

Step-by-step explanation

(a) To find the car's average acceleration, we have to apply the formula for average acceleration:

`a_(avg)=(\Delta v)/(t)`

where Δv = change in velocity

t = time

Therefore, the car's average acceleration is:

`\begin{gathered} a_(avg)=(44.7-0)/(7.2) \\ a_(avg)=(44.7)/(7.2) \\ a_(avg)=6.21m\/s^2 \end{gathered}`

(b) The car can go from 34 m/s to 0 m/s in 3.7s.

Therefore, applying the formula for average acceleration, the average acceleration of the car is:

`\begin{gathered} a_(avg)=(0-34)/(3.7) \\ a_(avg)=(-34)/(3.7) \\ a_(avg)=-9.19m\/s^2 \end{gathered}`

That is the answer.