Question: Based on data from a research group, a model for the total stopping distance of a moving car in terms of its speed is s=1.7v+0.055v2,
Based on data from a research group, a model for the total stopping distance of a moving car in terms of its speed is s=1.7v+0.055v2, where s is measured in ft and v in mph. The linear term 1.7v models the distance the car travels during the time the driver perceives a need to stop until the brakes are applied, and the quadratic term 0.055v2 models the additional braking distance once they are applied. Find dvds at v=45 and v=85mph, and interpret the meaning of the derivative. At v=45mph,dvds= At v=85mph,dvds= Interpret the derivative. Choose the correct answer below. A. The derivative represents the total time needed for the car to completely stop. B. The derivative represents the distance traveled by the car in feet for a velocity in mph. C. The derivative represents the additional number of feet needed to stop a car for a 1mph increase in the speed. D. The derivative represents the deceleration of the car after the driver applies the brakes
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
