how long does it take to travel the 200m200m up the ramp? Treat the direction of motion as positive.

Question

Suppose a car merges into freeway traffic on a ramp 200m200m in length. If its initial velocity is +10.0m/s+10.0m/s and it accelerates at +2.50m/s2+2.50m/s2, how long does it take to travel the 200m200m up the ramp? Treat the direction of motion as positive.

Answer 1

d = V₀t + 0.5at²

200 = 10t + 0.5(2.5)t²

1.25t² + 10t - 200 = 0

Now use the quadratic formula to solve for time and remember that time cannot be negative.