A small probe is launched vertically from the ground After it reaches its high point, a parachute deploys and the probe descends to Earth The height of the probe above the ground is for 0 t 6 a Graph the height function and describe the motion of the probe b Find the velocity of the probe c Graph the velocity function and determine the approximate time at which the velocity is a maximum 300t 50t2 s(1) t 2

Question: A small probe is launched vertically from the ground. After it reaches its high point, a parachute deploys and the probe descends to Earth. The

A small probe is launched vertically from the ground. After it reaches its high point, a parachute deploys and the probe descends to Earth. The height of the probe above the ground is 300t – 50t2 s(1) t + 2 for 0 ≤ t ≤ 6.

a. Graph the height function and describe the motion of the probe.

b. Find the velocity of the probe.

c. Graph the velocity function and determine the approximate time at which the velocity is a maximum.

300t 50t2 s(1) t + 2

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