The Hill Climb

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Slope = 5° Slope = 10° Slope = 15° Slope = 20° Slope = 25° Slope = 30°
 
The engine of the yellow Lamborghini shown above delivers 50 hp to the drive wheels. The car moves up a slope at its maximum speed. The distance grid is in meters and the time is shown in seconds. Neglecting the effects of air resistance, what is the value of the maximum speed? Why?

Hints

  1. Measure the distance traveled in a given time. (To do this, measure both the horizontal and vertical displacements and combine them appropriately.)
  2. Consider the forces acting on the car and the power required.

Reference

See Serway and Beichner, Physics For Scientists and Engineers 5th Edition, Example 2.5


Illustration written by Chuck Niederriter