Final answer:
APR is typically armed when the switch is set to ARM and the engine reaches 79% N1. The F-35's initial acceleration and subsequent motion can be determined using kinematic equations. UAV propeller angular velocity and acceleration are calculated from the provided function.
Step-by-step explanation:
Understanding Takeoff Physics and Angular Velocity in Aviation
The question addresses the Automatic Performance Reserve (APR) that is a feature in some aircraft engines designed to provide extra power in case of an engine failure during takeoff. The APR is typically armed under specific conditions to ensure aircraft safety. The normal takeoff condition for arming the APR is when the APR switch is in the ARM position, and the engine has reached 79% N1 (a measure of engine rotational speed), where it will stay armed for 5 minutes. This feature is not directly related to payloads, crosswind, nor specifically to engine anti-ice being on.
Now, addressing the understanding of physics concepts through the questions provided, we can derive various results. For a Lockheed Martin F-35 II Lighting jet taking off an aircraft carrier, we can calculate the initial acceleration on the deck using kinematic equations. We can also express the position and velocity of the F-35 in vector notation after it leaves the deck. The altitude at 5 seconds after deck departure, as well as the velocity and total horizontal distance traveled, are derivable through kinematic principles in two dimensions.
For the UAV propellers question, the instantaneous angular velocity at t = 2.0 s is calculated using the given angular velocity function ω = (25.0t) rad/s. The angular acceleration is the derivative of the angular velocity with respect to time, which in this case, due to the linear relationship, is constant.