64. Velocity of a probe 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 300t – 5012 is s(t) for 0 sts 6. t3 + 2 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.

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Chapter3: Vectors And Two-Dimensional Motion
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64. Velocity of a probe 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
300t – 5012
is s(t)
for 0 sts 6.
t3 + 2
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.
Transcribed Image Text:64. Velocity of a probe 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 300t – 5012 is s(t) for 0 sts 6. t3 + 2 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.
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