a What is the maximum speed of the car? b During which intervals was the rate of change of the speed of the car zero? c Use the graph to estimate the average rate at which the car’s speed is...

a       What is the maximum speed of the car?

b       During which intervals was the rate of change of the speed of the car zero?

c        Use the graph to estimate the average rate at which the car’s speed is increasing between times t = 0.05 hour and t = 0.20 hour.

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

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

f        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)“