Problem Diagram

The pilot of an F-16 must get his plane in the air in less than 30 seconds to defend against enemy aircraft. Can he do it?

What is known:

• The mass of the F-16 is m = 14,600 kg.
• The liftoff speed is v_LO = 45.7 m/s.
• For the first 5 seconds of the takeoff roll, the magnitude of the thrust of the jet increases from 22,250 N to 111,250 N at a constant rate. After 5 seconds, the thrust is constant at 111,250 N.
• The takeoff roll is a straight line.
• All friction forces can be neglected.

What is the velocity of the F-16 after 5 seconds?

How long does it take for the F-16 to reach the velocity required for liftoff?

• Express the thrust of the F-16 as a function of time.
• Determine the relationship between the external force acting on the plane and the change in velocity.
• Use the principle of impulse and momentum.