Answer:
Part A
A speed of approximately 58.55 mph
Part B
A pressure of approximately 18.9 psi
Step-by-step explanation:
Part A
The parameter for the car are;
The tire pressure, p = 32 psi
The given equation determined for the speed, 'v', when a car will start hydroplaning is presented as follows;
v = 10.35·√p
Where;
v = The speed at which the car is moving when it will hydroplane in mpj
p = The pressure in the tire in psi
The speed at which hydro planning will start in Mike's car that has a tire pressure of 32 psi is therefore;
v = 10.35 × √(32 psi) ≈ 58.55 mph
The speed at which hydro planning will start in Mike's car that has a tire pressure of 32 psi, v ≈ 58.55 mph
Part B
When a car is moving at, v = 45 mph, we have;
v = 10.35·√p
∴ The pressure in the car tire, p = (v/10.35)²
∴ at p = 45 mph, we have;
p = (45 mph/10.35)² ≈ 18.9 psi
The tire pressure at which Mike's car start hydroplaning, p ≈ 18.9 psi
