Chapter 5.3, Problem 5E

Hydroplaning On wet roads, under certain conditions the front tires of a car will hydroplane, or run along the surface of the water. The critical speed $V$ at which hydroplaning occurs is a function of $p$, the tire inflation pressure. The following table shows hypothetical data for $p$, in pounds per square inch, and $V$, in miles per hour.

Tire inflation pressure $p$	Critical speed $V$ for hydroplaning
20	46.3
25	51.8
30	56.7
35	61.2

a	Find a formula that models $V$ as a power function of $p$.
b	In the rain, a car (with tires inflated to $\text{35 pound}$ per square inch) is travelling behind a bus (with tires inflated to $60$ pounds per square inch), and both are moving at $65$ miles per hour. If they both hit their brakes, what might happen?