10.Write down a limit that gives the instantaneous velocity of the car at a seconds. instv=

11.Instantaneous velocity at 1a= second can also be represented graphically.

a.Sketch the line on the graph in Model 2 whose slope (m) is equal to the instantaneous velocity of the car at 1a= second.

b.Since it is hard to draw this line accurately (and it is very close to the line you drew representing the average velocity between a = 1 and t= 1.2), briefly describe the characteristics of this line representing the instantaneous velocity at 1a= second.

12.(Check your work) Is your answer to the previous question consistent with the information in Summary Boxes D1.1 and D1.2? If not, go back and revise your answer to the previous question.

Model 2: Car Rolling Down a Ramp A car starts at rest at t = 0 . Assume the distance (d) the car travels is always a function of time (2') according to the equation: d ( t) = 3:2 with units: d (in meters); t (in seconds). The solid curve below shows d (r) = 3:2 . ,/ /' x