In the Soapbox Derby in (Figure 1), young participants build non-motorized cars with very low-friction wheels. Cars race by rolling down a hill. Assume that the track begins with a 47-ft-long (1 m = 3.28 ft) section tilted 14 degrees below horizontal.

• a. What is the maximum possible acceleration of a car moving down this stretch of track?
• b. If a car starts from rest and undergoes this acceleration for the full l, what is its final speed in m/s?

♦ Relevant knowledge

A rectilinear movement that is uniformly variable is one in which the trajectory is straight, and whose speed or velocity is increased or decreased equally with the passage of time.

A rectilinear motion in which the speed increases in a uniform manner with time and is uniformly increased.

A linear motion where the speed of the velocity at a given moment decreases with the passage of time. This is a motion that decreases uniformly.

The speed of the object’s speed at one particular point determines how speedy or slow it is at that moment. 

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Acceleration:

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