6. The height of a ferris wheel car measured in feet above ground level t seconds after the ride starts is F(t) = -50 cos(G)+53. %3D (a) answer, decimal answers will not be accepted. Find TWO TIMES t at which the velocity is zero. Give exact values for your At t = 9, is the height increasing or decreasing? Use Calculus to explain how (b) you know. (c) ) Find the acceleration of the car at time t 9. Be sure to include units.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
![The height of a ferris wheel car measured in feet above ground level \( t \) seconds after the ride starts is
\[ F(t) = -50 \cos\left(\frac{\pi}{6} t\right) + 53. \]
(a) **[Name]** Find TWO TIMES \( t \) at which the velocity is zero. Give exact values for your answer, decimal answers will not be accepted.
(b) **[Name]** At \( t = 9 \), is the height increasing or decreasing? Use Calculus to explain how you know.
(c) **[Name]** Find the acceleration of the car at time \( t = 9 \). Be sure to include units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d5c52f5-eeda-4205-92ae-706134149552%2F44cb9717-7856-4de1-bbe6-f5fd6b399df5%2Fyicrnfk_processed.jpeg&w=3840&q=75)
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