a. Find an estimate for the rate at which the car’s speed is increasing when t = 0.1 hour. b. When was the speed increasing most rapidly? How can you tell? c. Sketch the graph of the rate of change of...

a.       Find an estimate for the rate at which the car’s speed is increasing when t = 0.1 hour.

b.       When was the speed increasing most rapidly? How can you tell?

c.       Sketch the graph of the rate of change of speed against time for t = 0 to t = 0.50 hour. (General shape and key t values required only on graph; there is no need for a vertical scale.)

Extracted text: The graph shows the speed, S (kilometres per hour) of a car as it travels along a straight road at time t hours. speed (km/h) 90 60 304 0.10e 0.20e 0.30e 0.40e 0.50e 0.60e time (h)“