You are making some modifications to your Mazda Bongo van to âimprove its handlingâ and decide to remove the shock absorbers and lower it to âmake it look meanâ. Without the shock absorbers, the springs in the rear suspension cause the rear axle to freely oscillate according to the following equation:
y=0.1sin(9.42t)
Where y is the vertical displacement of the rear axle in metres and t is measured in seconds.
A small bump in the road causes one of the rear wheels of the Bongo Van to start oscillating and one of the rear wheels loses contact with the ground. If the Bongo Van is moving with a speed of 54.0 km hrâ1, what distance does the van travel before the wheel makes contact with the ground again?
27.0 m
36.0 m
10.0 m
12.0 m