A whale swims at a constant velocity of 15 m/s southeast for 10 seconds, slows to...
A whale 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 velocity versus time t for the entire motion. Assume the motion started at time t=0 seconds;
(b) how long did the motion described last?;
(c) find an expression of the whale's velocity as a function of time for the entire motion;
(d) find an expression for the whales acceleration as a function of time for the entire motion;
(e) sketch the acceleration as a function of time;
(f) find an expression for the whale's average velocity over any time interval [0,t] during the motion;
(g) find the expression fo the whale's displacement as a function of time; and (h) sketch the displacement versus time for the entire motion.
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