The braking distance required for a car to stop depends on numerous variables such as the speed of the car, the weight of the car, reaction time of the driver, and the coefficient of friction between the tires and the road. For a certain vehicle on one stretch of highway, the braking distances
s | 30 | 35 | 40 | 45 | 50 |
|
109 | 134 | 162 | 191 | 223 |
s | 55 | 60 | 65 | 70 | 75 |
|
256 | 291 | 328 | 368 | 409 |
a. Use regression to find a quadratic function to model the data.
b. Use the model from part (a ) to predict the stopping distance for the car if it is traveling 62 mph before the brakes are applied. Round to the nearest foot.
c. Suppose that the car is traveling 53 mph before the brakes are applied. If a deer is standing in the road at a distance of 245 ft from the point where the brakes are applied, will the car hit the deer?
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