If a car that is 100 feet in front of you on route 70 west slams on the brakes while you are traveling 65 miles per hour (95 feet per second) how much time do you have to hit the brakes and stop before rear ending them

t = 1.05 s

Explanation:

Given,

The distance between your vehicle and car, 100 ft

The constant speed of your vehicle, u = 95 ft/s

Since, the velocity is constant, a =0

If the car stopped suddenly, time left for you to hit the brake, t = ?

Using the second equation of motion,

                           S = ut + ½ at²

Substituting the given values in the equation

                           100 = 95 x t

                             t = 100/95

                               = 1.05 s

Hence, the time left for you to hit the brakes and stop before rear ending them, t = 1.05 s

the diagram which shows forces as either balanced = same speed or unbalanced = accelerarting

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