c = 0.1 M = 3000kg Peeta wants to find out the braking time for her car in the mud. Assuming Peeta is traveling at 36km/hr, she releases the accelerator before stepping on the brakes 1 second later. During this second you may assume Peeta's car is slipping in the mud, and the only force

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Drag force is given by D = -cMv^2

 c = 0.1

M = 3000kg

Peeta wants to find out the braking time for her car in the mud. Assuming Peeta is traveling at 36km/hr, she releases the accelerator before stepping on the brakes 1 second later. During this second you may assume Peeta's car is slipping in the mud, and the only force acting on Peeta's car is the drag force.

1.

a)  Let v1(t) be the velocity of Peeta's car t seconds after releasing the accelerator. Write down a first-order differential equation for v1(t).

b) Is the equation part a) linear? is it separable?

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