RE Velocity of a rocket? The height in feet of a rocket above the ground is given by s(t)= 202t2 for t? 0. t +1 a.? Graph the height function and describe the motion of the rocket. b.? Find the velocity of t? h?e roc ? k? t? (?t) =? ?(?t). c.? Graph the velocity function and determine the approximate time at which the velocity is a maximum.

Solution Step 1: The height in feet of a rocket above the ground is given by 200t2 s(t)= t +1for t 0 (a)The rocket climbs quickly at first so that it has attained a height of 160 by the time t=2, then climbs more slowly climbing less than 40 units between t=2 and t=4