Speed Camera Racer

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Drive a 10 km average speed check on a straight highway with the speed up and slow down buttons while the position-time and velocity-time graphs are drawn. Use the mean value theorem (a tangent parallel to the secant) to see why slowing down only at the cameras still gets a ticket, then paint the area under the velocity graph to find that it equals the distance driven.

Key conceptsmean value theorem · average rate of change · instantaneous rate of change · slope of the tangent · velocity and distance · definite integral · average speed check

• Calculus