Posted by **Erica** on Wednesday, February 1, 2012 at 10:47am.

A car is speeding at 33.4 m/s. A police car starts in pursuit from rest when the car is 100 m past the cruiser. At what rate must the cruiser accelerate to catch the speeder before the state line, 1.2 km away from the speeding car?

Include all steps if possible please, so that I may fully understand.

- Physics -
**Henry**, Friday, February 3, 2012 at 12:53pm
d = r*t = 1200 m.

33.4t = 1200,

t = 1200 / 33.4 = 35.93 s. = Time to reach state line.

Dt = 100 + 1200 = 1300 m. = Dist. the

trooper must travel to reach state line.

Dt = 0.5a*t^2 = 1300 m.

0.5a*(35.93)^2 = 1300,

0.5a*1291 = 1300,

645.5a = 1300,

a = 1300 / 645.5 = 2.014 m/s^2.

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