Suppose you are driving at a speed v0 when a sudden obsticle in the road forces

Question

Suppose you are driving at a speed v0 when a sudden obsticle in the road forces you to make a quick stop. If your reaction time before applying the brakes is Tr, what constant deceleration (absolute value of Ax), do you need to stop in distance d? Assume that d is larger than the car's distance traveled during your reaction time?

a: Absolute value of a = (v0)/(d-v0*t*R)

b: Absolute value of a = (v0)^2/(d-v0*t*R)

C: absolute value of a= (v0)^2/[2(d-v0*t*R)]

D: absolve value of a= (v0)/[2(d-v0*t*R)]

Suppose you are driving at 21 m/s when you suddenly see an obsticle 49 m ahead. IF your reaction time is .42(s) and if your car's max deceleration is 5.81 m/s^2, can you stop in time to avoid a collision?

Yes or No?

Explanation / Answer

C: absolute value of a= (v0)^2/[2(d-v0*t*R)]

yes

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