A fighter jet can accelerate on an aircraft carrier from rest to a takeoff speed of 74m/s in approximately two seconds. A wheel on a fighter jet has a diameter of approximately 1.5m.

a. Calculate the angular velocity of the plane’s wheels as it takes off.

b. Determine the number of revolutions the plane’s wheels make going from rest to take off velocity.

c. Determine and label an appropriate scale for the graph below. Plot a graph of the angular velocity as a function of time.

d. Describe how the graph above could be used to determine the angular acceleration of the plane’s wheels while accelerating from rest.