a car with an initial speed of 2m/s accelerates at a uniform rate of 1m/S^2 for 2 s. Find the distance of the car during this time.

Question

 a car with an initial speed of 2m/s accelerates at a uniform rate of 1m/S^2 for 2 s. Find the distance of the car during this time.

Answer 1

x(t) = x₀ + v₀t + (1/2)at²

 

Let x₀ = 0, since we just want to know how far it traveled from its starting position.

 

v₀ = 2 m/s

 

a = 1 m/s²

 

t = 2 s

 

x = v₀t + (1/2)at² = (2 m/s)(2 s) + (1/2)(1 m/s²)(2 s)² = (4 + 2) m = 6 m