Kinematics Equations Video Lessons

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Problem: (a) A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a 32° ramp at a speed of 40.0 m/s (144 km/h). How many buses can he clear if the top of the takeoff ramp is at the same height as the bus tops and the buses are 20.0 m long? (b) Discuss what your answer implies about the margin of error in this act – that is, consider how much greater the range is than the horizontal distance he must travel to miss the end of the last bus. (Neglect air resistance)

FREE Expert Solution

Range:

R=v02sin2θg

(a)

Substituting to the equation for the range:

R = (40.02)sin[(2)(32°)]/9.81 = 146.59 m

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Problem Details

(a) A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a 32° ramp at a speed of 40.0 m/s (144 km/h). How many buses can he clear if the top of the takeoff ramp is at the same height as the bus tops and the buses are 20.0 m long? (b) Discuss what your answer implies about the margin of error in this act – that is, consider how much greater the range is than the horizontal distance he must travel to miss the end of the last bus. (Neglect air resistance)

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