A rocket sled having an initial speed of 150 mi/h is slowed by a channel of water. Assume that during the braking process, the acceleration a is given by a(v)=−μv2, where v is the velocity andμis a constant.(a) As in Example 4 in the text, use the relation dv/dt=v(dv/dx)to write the equation of motion in terms of v and x.(b) If it requires a distance of 2000 ft to slow the sled to 15 mi/h, determine the value ofμ.(c) Find the timeτrequired to slow the sled to 15 mi/h.