Question

MODELING REAL LIFE For a drag race car that weighs 1600 kilograms, the velocity

v (in kilometers per hour) reached by the end of a drag race can be modeled by the function
U = 23.83/p, where p is the car's power
(in horsepower). Estimate the power of a 1600-kilogram car that reaches a velocity of 220 kilometers per hour.

Answer 1

Explanation:

The given function is U = 23.83/p, where U represents the velocity in kilometers per hour, and p represents the car's power in horsepower.

We are given that a car with a weight of 1600 kilograms reaches a velocity of 220 kilometers per hour. We can use this information to estimate the car's power, p, by rearranging the formula as follows:

p = 23.83/U

Substituting U = 220 km/h, we get:

p = 23.83/220

p ≈ 0.1083 horsepower

Therefore, the estimated power of a 1600-kilogram car that reaches a velocity of 220 kilometers per hour is approximately 0.1083 horsepower.