Question

The estimated velocity v (in miles per hour) of a car at the end of a drag race is v = 234 √p ÷ w 3 , where p is the horsepower of the car and w is the weight (in pounds) of the car. A car has a horsepower of 1311 and weighs 2744 pounds. Find the velocity of the car at the end of a drag race. Round your answer to the nearest whole number.

Answer 1

Answer:

The velocity of the car at the end of drag race is 183 miles per hour.

Step-by-step explanation:

We are given the following in the question:

$v = 234 \bigg(\dfrac{p}{w}}\bigg)^{\frac{1}{3}}$

where v is the velocity of the car at the end of drag race, p is the horsepower of the car and w is the weight of car.

We need to approximate velocity of the car at the end of a drag race when car has a horsepower of 1311 and weighs 2744 pounds.

Putting values in the equation, we get,

$v = 234\bigg(\dfrac{1311}{2744}\bigg)^{\frac{1}{3}}\\\\v = 182.93\\v\approx 183\text{ miles per hour}$

Thus, the velocity of the car at the end of drag race is 183 miles per hour.