Question

consider the ascent of a passenger jet that took 6 minutes to reach a top speed of 720 miles per hour and continued to travel at a constant speed of 720 miles per hour. if the jet left the airport 5 hours ago, how many miles has it traveled? use a velocity - time graph to model the ascent of the passenger jet to help you answer the question. > enter the answer in the space provided. use numbers instead of words. miles

Explanation:

Step1: Convert 6 minutes to hours

6 minutes = $\frac{6}{60}=0.1$ hours

Step2: Calculate distance during acceleration

The jet accelerates for 0.1 hours to reach 720 miles per hour. The average speed during acceleration is $\frac{0 + 720}{2}=360$ miles per hour. Distance during acceleration $d_1=360\times0.1 = 36$ miles.

Step3: Calculate time at constant - speed

The jet has been flying for 5 hours in total, and it accelerated for 0.1 hours. So the time at constant - speed $t_2=5 - 0.1=4.9$ hours.

Step4: Calculate distance at constant - speed

The speed at constant - speed is 720 miles per hour. Distance at constant - speed $d_2 = 720\times4.9=3528$ miles.

Step5: Calculate total distance

Total distance $d=d_1 + d_2=36+3528 = 3564$ miles.

Answer:

3564