Uphill escape ramps are sometimes provided to the side of steep downhill highways for trucks with overheated brakes. for a simple 11° upward ramp, what minimum length would be needed for a runaway truck traveling 140 km/h? note the large size of your calculated length. (if sand is used for the bed of the ramp, its length can be reduced by a factor of about 2.)

404.4 m

Explanation:

Converting the initial speed from km/h to m/s then

The acceleration is resolved as shown in the figure hence

deceleration of the truck along the inclined plane will be

where g is acceleration due to gravity

Substituting g with then

Using kinematic equation

and making s the subject then

where v and u are final and initial velocities respectively

Substituting 0 for v, 38.89 m/s for u and then

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see earlier