A dolphin swims at a constant velocity of 15 m/s southeast for 10 seconds, slows to...
A dolphin swims at a constant velocity of 15 m/s southeast for 10 seconds, slows to a stop at a rate of 3 m/s^2, and then accelerates northwest at a rate of 2 m/s^2 for 5 seconds.
(a) sketch the acceleration as a function of time;
(b) find an expression for the dolphin's average velocity over any time interval [0,t] during the motion;
(c) find the expression fo the dolphin's displacement as a function of time; and
(d) sketch the displacement versus time for the entire motion.
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