A silver dollar is dropped from the top of a building that is 1358 feet tall. Use the position function below for free-falling objects. s(t) = -16t² + vot + so (a) Determine the position and velocity functions for the coin. s(t) = v(t): (b) Determine the average velocity on the interval [1, 2]. ft/s (c) Find the instantaneous velocities when t = 1 second and t = 2 seconds. v(1) = = ft/s v(2) = ft/s (d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places.) t = s (e) Find the velocity of the coin at impact. (Round your answer to three decimal places.) ft/s
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.
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![A silver dollar is dropped from the top of a building that is 1358 feet tall. Use the position function below for free-falling objects.
s(t) = -16t² + vot + so
(a) Determine the position and velocity functions for the coin.
s(t) =
v(t):
(b) Determine the average velocity on the interval [1, 2].
ft/s
(c) Find the instantaneous velocities when t = 1 second and t = 2 seconds.
v(1) =
=
ft/s
v(2) =
ft/s
(d) Find the time required for the coin to reach the ground level. (Round your answer to three decimal places.)
t =
s
(e) Find the velocity of the coin at impact. (Round your answer to three decimal places.)
ft/s](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf3d5f87-0b83-4492-a439-9aed0a61298e%2F877bd836-5127-4224-bba3-29b542d2e408%2F3pdfw9u_processed.jpeg&w=3840&q=75)
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