10.A rocket is fired vertically upward from the ground. The position function is given by: S S(t) = 16t² + 560t where S(t) is in feet and t is in seconds. a. Find the velocity of the rocket 3 seconds after it is fired. b. Find the acceleration after 3 seconds. C. Is the rocket slowing down or speeding up at 3 seconds?
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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S(t) = 16t² + 560t where S(t) is in feet and t is in seconds.
a. Find the velocity of the rocket 3 seconds after it is fired.
b. Find the acceleration after 3 seconds.
C.
Is the rocket slowing down or speeding up at 3 seconds?"
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