assuming you meant speed (since the average velocity is zero after every lap!)
You are correct. The distance covered is 352*1.5
Since it took four hours, the average speed is 352*1.5/4 mi/hr
You can use the derivative if you insist, but since this is apparently a linear function, its slope is constant.
Four hours after the start of a 600 mile auto race, a driver's velocity is 150 miles per hour as she completes the 352nd lap on a 1.5 mile track
a) find the drivers average velocity during the first four hours of the race.
b) let f(x) represent the distance traveled (in miles) from the start of the race (x=0) to time x (in hours). Find the slope of the secant line through the points 0, f(0) and 4, f(4).
c) Find the equation of the tangent line at 4, f(4)
So i know that I need to multiply 352 by 1.5 to get the miles covered but I dont know what to do for the rest of a. I know that after I do that I just need to do the derivative which i know how to do.
1 answer
1 answer