(1) In the aftermath of a car accident, it is concluded that one driver slowed t

Question

(1)
In the aftermath of a car accident, it is concluded that one driver slowed to a halt in 16 seconds while skidding 1075 feet. If the speed limit was 45 miles per hour, can it be proved that the driver had been speeding?

(Hint: 45 miles per hour is equal to 66 feet per second.)

We can guarantee that at some time from when the driver first pressed on the brake to when the car came to a complete stop the car was traveling ____ mph

(2)
The function g is continuous on the interval [a, b] and is differentiable on (a, b).
Suppose that g(x) = 0 for 4 distinct values of x in (a, b).
What is the minimum number, k, of z in (a, b) such that g'(z) = 0?

k=__

Explanation / Answer

1)velocity v^2=2aS v=sqrt(2*a*s) =sqrt(2*a*1075) vmax=45 t=16 a=vmax/t=45/16=2.8125 so we get v=77.76>45 so he was speeding minimum k=1 inbetween every 2 zeroes so k=3

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