# 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:

$\overline{){\mathbf{R}}{\mathbf{=}}\frac{{{\mathbf{v}}_{\mathbf{0}}}^{\mathbf{2}}\mathbf{s}\mathbf{i}\mathbf{n}\mathbf{2}\mathbf{\theta }}{\mathbf{g}}}$

(a)

Substituting to the equation for the range:

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

86% (280 ratings) ###### 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)