Maximum Possible Acceleration
In the soapbox Derby, young participants build non-motorized cars with very low friction wheels. Cars race by rolling down a hill. The track at Akron’s Derby Downs, where the national championship is held, begins with 55-ft long section tilted 13° below horizontal.
a) What is the maximum possible acceleration of a car moving down this stretch of track?
=> amax = mgravity x sin(13)
=>amax = 9.8 x 0.22
= 2.20 m/sec2
b) If a car starts from rest and undergoes this acceleration for the full l, what is its final speed in m/s?
55 feet converted to meters = 16.76 meters
v2 = u2 + 2as
=>v2 = 0 + 2 x 2.20 x 16.76
=>v = √ (73.74)
= 8.59 m/s