Urgent help physics

Question

You are driving your car uphill along a straight road. Suddenly you see a car run a red light and enter the intersection just ahead of you. You slam on your brakes and skid in a straight line to a stop, leaving skid marks 100 feet long. A policeman observes the whole incident and, much to your surprise, gives you a ticket for exceeding the speed limit of 30 mph. When you get home, you consult your Physics 2111 notes and estimate that the coefficient of kinetic friction between your tires and the road was 0.6 and the coefficient of static friction was 0.8. You estimate that the hill made an angle of 10 ̊ with the horizontal. You look up in your owner’s manual and find that your car weighs 2050 lbs. Will you fight the traffic ticket in court?

Answer 1

Speed of the car before applying brakes is 25.82 ft/sec = 38 mile/hour ( approx ) which is beyond limit

V= sqrt ( 2*0.6*g*Sin10*!00)

Use g = 32ft/s2

Deacceleration due to friction = µ_k *g *Sin 10⁰ = a = ).6 *32 * 0.1736

Using V_f²= Vi² - 2*a *S

Where V_f =0 S= 100ft ,

V_f = 25.82 ft/sec = 38 miles /hour approx (Exceeds limit of 30miles/hour)

Advise : You will loose in court for violating speed laws