CALCULUS:GRAPHICAL...,AP ED.-W/ACCESS
5th Edition
ISBN: 9780133314564
Author: Finney
Publisher: SAVVAS L
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The height above the ground of a rider on a Ferris wheel can be modeled by the sinusoidal function
h=6sin(1.05t−1.57)+8ℎ=6sin(1.05t-1.57)+8
where hℎ is the height of the rider above the ground, in metres, and t is the time, in minutes, after the ride starts.
When the rider is at least 11.5 m above the ground, she can see the rodeo grounds. During each rotation of the Ferris wheel, the length of time that the rider can see the rodeo grounds, to the nearest tenth of a minute, is min.
The position function of a particle is given by ?(?) , where t is measured issecond and s is measured in metres.
a) Find the velocity and acceleration functions.
b) When does the particle change direction?c) What is the velocity at ? = 3 seconds? Is the particle moving away or towards its starting position?
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- 14b.1 Please help me answer all parts to this math problem.arrow_forwardNeed help.arrow_forwardStarting at point (1,0), you move along a distance t along a unit circle until you reach a terminal point at P(1213,513)P(1213,513). Find all six trignometric functions of t. Express your answer as a reduced fraction, NO DECIMALS!arrow_forward
- b. An object moves along a straight line with acceleration given by a(t) = - cos(t), and s(0) = 1, and v(0) = 0. Find the maximum distance the object travels from zero, and find its maximum speed. Describe the motion of the object.arrow_forwardA4) The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 2t - 20t meters. [ 1 mark ] (a) Determine the velocity of the bird at t = 3 sec. [0.25 mark] (b) Determine the acceleration of the bird at t = 3 sec. [0.25 mark] (c) Determine the acceleration of the bird when the velocity equals 0. [0.5 mark]arrow_forwardThe topic to solve this is derivativesarrow_forward
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