A car of mass m=1250Kg has 60% of its weight supported by the driving wheels. The static friction coefficient between its wheels and road is µs=1.2 and the aerodynamic drag dorce on its body is given by FD=Kv2 where v is the speed and K=0.5Ns2/m2. Assume there is no lift force.
a) What is the maximum acceleration that the car can achieve?
b) What is the maximum possible acceleration at 100mph?
c) Assuming the engine is sufficiently powerful, what is the top speed?
d) Assuming that the car starts from rest at t=0 and that it continues with maximum possible acceleration for any given speed find the formula for v(t).
e) Assuming that the car starts from rest at x=0 and that it continues with maximum possible acceleration for any given speed find the formula for v(t)
f) Calculate the time required to reach 80% of the top speed.
g) Calculate the speed for x=1/4 miles