A woman drives 6 miles, accelerating uniformly from rest to 70 mph. How long does it take for her to reach 70 mph?

Using the two kinematic equations that can be used for this problem are:

Vf = Vi + at and d=Vit + (1/2) * at^2

Since Vi (initial velocity) = 0

The equations can further be simplified where a is the acceleration, t is the time, Vf is the final velocity which is 70 miles per hour and d is 6 miles

Vf = at

70 = at

a = 70/t---equation 1

d = (1/2) * a * (t^2)

6 = (1/2) * a * (t^2) - - - equation 2

Substituting equation 1 to equation 2.

6 = (1/2) * (70/t) * (t^2)

6 = 35t

t = 0.17142 hours or 10.28571 mins or 617.14 sec