Question

A car reaches the interstate and increases its velocity from 25 m/s to 45 m/s in 5 s.

a. What is the car's acceleration?
b. How far did the car travel?

Answer 1

a) 4 m/s^2

b) 175 m

Step-by-step explanation:

Acceleartion is Δv/Δt. Δv = 45 - 25 = 20 m/s and Δt is 5 s. 20/5 = 4. From here we can use two approaches to solve for b

1)
`d = v_(i) t + (1)/(2) at^(2)`, where d is distance,
`v_(i)` is the intital velocity, a is acceleration, and t is time

2)
`d = (v_(i) + v_(f) )/(2) * t`, where
`v_(i)` is the intital velocity,
`v_(f)` is the final velocity, and t is time.

If you plug in the numbers for either equation, you should get 175 m.