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3. Suppose a bird takes off from the top of a lamp post with its altitude...

3. Suppose a bird takes off from the top of a lamp post with its altitude (in m) given by

p(t) = (1/3)t3 - (1/2)t2 -6t +15

(a) Calculate the bird’s velocity and acceleration.

(b) How tall is the lamp post?

(c) Is the bird initially flying up or down as it leaves the lamp post? Justify your answer using concepts from calculus.

(d) Determine the critical points for p(t).

(e) Determine the possible points of inflection for p(t).

(f) Determine the intervals on which p(t) is concave up and concave down.

Solutions

Expert Solution

milcah answered 2 years ago
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