Related Rates (2)

Particle A starts at the point (50, 0) and heads west as a speed of 10 m/s. Particle B starts at the point (0, 40) and heads south at a speed of 5 m/s. Play to animate, then answer the questions that follow.


Determine the rate at which p, the distance between A and B, is changing with respect to time at t = 2 sec.


Explain why, with respect to the physical context here, at t = 2 sec.


At what time is ? (You can informally verify by interacting with the applet, but be sure to formally show this using calculus!)