Answer:
To calculate the amount of work required to accelerate a car from 15.28 m/s to 32.48 m/s, you can use the following formula:
Work = Force * Distance
In this case, the force is the accelerating force on the car, and the distance is the change in velocity of the car. The accelerating force can be calculated using the formula:
Force = Mass * Acceleration
To find the acceleration of the car, you can use the formula:
Acceleration = Change in Velocity / Time
The time it takes for the car to accelerate can be calculated using the formula:
Time = Distance / Velocity
Substituting these formulas into the original equation, we get:
Work = Mass * (Change in Velocity / Time) * (Time)
Plugging in the given values, we get:
Work = 704.15 kg * (32.48 m/s - 15.28 m/s) / (32.48 m/s - 15.28 m/s) * (32.48 m/s - 15.28 m/s / 32.48 m/s)
Simplifying this equation, we get:
Work = 704.15 kg * (17.2 m/s)^2
Work = 704.15 kg * 295.04 m^2/s^2
Work = 207,764.79 kg*m^2/s^2
So the total amount of work required to accelerate the car from 15.28 m/s to 32.48 m/s is 207,764.79 kg*m^2/s^2.
Step-by-step explanation: