The graph above shows the velocity of a car over 30 seconds.Name: Date:

1) What was the velocity at time t=8 seconds (to the nearest whole number)?

2) How many seconds did it take to reach a velocity of 8m/s (to the nearest whole number)?

3) Work out the average gradient between t=0 and t=30 seconds (correct to 1 d.p.)

4) Estimate the gradient at 12 seconds (correct to 1 d.p.)

5) Interpret your result:

- What does this gradient represent?

- Compare the gradient at 12 seconds with the average gradient

- What is happening over time?

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2) 16 seconds

3) average gradient = 1.3

4) gradient at t=12 is 0.5

5) The gradient represents the acceleration of the car. The gradient at 12s is less than the average gradient over 30 seconds. Over time the car is accelerating at an increasing rate.

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1) 4m/s2) 16 seconds

3) average gradient = 1.3

4) gradient at t=12 is 0.5

5) The gradient represents the acceleration of the car. The gradient at 12s is less than the average gradient over 30 seconds. Over time the car is accelerating at an increasing rate.

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