A formula 1 race car is heading down a straight section of


A formula 1 race car is heading down a straight section of track amd must slow down before entering a turn. The driver starts slowing at a point with speed of 80 m/s and must reach a speed of 40m/s for proper turn entry  if the car can decelerate at a constant 3Gs(1G=9.81m/s^2), how long does it take the car to slow and how far ahead of the entry must the driver apply the breaks.

Answers for Part 1: vo=80m/s v=40m/s a=3G's s=81.55 meters t=1.359 seconds

(I have done part one)

Part 2- If the magnitude od deceleration of the car is NOT constant but can be described as a function of velocity a=(15+0.3125v)m/s^2 with v in m/s find the same quantities as in part 1.

ONLY S and T need to be found as the same answers.

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