November 30, 2012
This activity presents a scenario in which a motorcycle rider jumps off a ramp and travels along a quadratic path through the air.
In Problem 1, students use a graphical model to explore the effect of setting the ramp at different angles to discover that the relationship between the angle of the ramp and the horizontal distance of the jump can also be described by a quadratic function. Students use this function to find the angle that maximizes the horizontal distance of the jump.
In Problem 2, students relate the angle of the ramp and the airtime of the jump, and then they use a similar process to discover that the airtime of the jump increases without bound as the angle of the ramp approaches 90°. Finally, they use their results to make recommendations for the rider.
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