Q36 of 89 Page 51

Figure (3-E8) shows a 11.7 ft wide ditch with the approach roads at an angle of 15° with the horizontal. With what minimum speed should a motorbike be moving on the road so that it safely crosses the ditch?


Assume that the length of the bike is 5 ft. and it leaves the road when the front part runs out of the approach road.


Given:
Width of the ditch = 11.7 ft
Length of the bike = 5 ft



The approach road makes an angle of
with the horizontal.



Total horizontal range that should be covered by the biker to cross the ditch safely, R = 11.7 + 5 = 16.7 ft



Acceleration due to gravity, a = g = 9.8 m/s = 32.2 ft/s2



We know that the horizontal range is given by



By putting respective values, we get:




Therefore, the minimum speed with which the motorbike should be moving is 32 ft/s.


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