A car is traveling with speed up when it begins to speed up at a rate of v every second. After t 1 seconds, the

A car is traveling with speed up when it begins to speed up at a rate of Δv every second. After t ₁ seconds, the car travels with zero acceleration for t ₂ seconds. Which of the following is a correct expression for the displacement of the car during this motion?

a. (v ₀ + (Δv)) (t ₁ + t ₂ )

b. v ₀ t ₁ + (Δv)t ₂

c. v ₀ t ₁  + 1/2(Δv)t ² ₁ + (Δv)t ₂

d. v _o t ₁ +1/2 (Δv) t ² ₁  + (v ₀ + (Δv)t ₁ )t ₂

e. v ₀ t ₁ + 1/2(Δv) t ² ₁ + (v ₀ + (Δv)) t ₂