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Suppose the position (in s(t) = -2t2 + 12t for 0 s %3D a). Find the velocity fu stationary, moving to th. b). Find the acceleratio- increasing? c). Graph s(t), v(t), a(t

Suppose the position (in s(t) = -2t2 + 12t for 0 s %3D a). Find the velocity fu stationary, moving to th. b). Find the acceleratio- increasing? c). Graph s(t), v(t), a(t

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.5: Velocities
Problem 44PS: Velocity at the Equator Assuming the radius of the earth is 4,000 miles, use the information from...
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Suppose the position (in feet) of an object moving horizontally at time t (in seconds) is s(t) = -2t2 + 12t for 0 <t < 8, with s > 0 corresponding to positions to the right of s = 0. a). Find the velocity function v(t) on the interval 0 <t < 8, and determine when the object is stationary, moving to the left, and moving to the right. b). Find the acceleration function a(t) on the interval 0 <t< 8. On what intervals is the speed increasing? c). Graph s(t), v(t), a(t) on one xy-plane. Find the absolute maximum for s(t), mark it on graph.
Transcribed Image Text:Suppose the position (in feet) of an object moving horizontally at time t (in seconds) is s(t) = -2t2 + 12t for 0 <t < 8, with s > 0 corresponding to positions to the right of s = 0. a). Find the velocity function v(t) on the interval 0 <t < 8, and determine when the object is stationary, moving to the left, and moving to the right. b). Find the acceleration function a(t) on the interval 0 <t< 8. On what intervals is the speed increasing? c). Graph s(t), v(t), a(t) on one xy-plane. Find the absolute maximum for s(t), mark it on graph.
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