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?

Respuesta :

Answer:

a) 4 m/s^2

b) 175 m

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) [tex]d = v_{i} t + \frac{1}{2} at^{2}[/tex], where d is distance, [tex]v_{i}[/tex] is the intital velocity, a is acceleration, and t is time

2)[tex]d = \frac{v_{i} + v_{f} }{2} * t[/tex], where  [tex]v_{i}[/tex] is the intital velocity, [tex]v_{f}[/tex] is the final velocity, and t is time.

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