2) A ball is thrown vertically upward from the top of a building. [A 17] It has a height function g(t) = -11² + 72t + 95, where g(t) is in metres and "t" is in seconds. i. Determine the average rate of change of the height of the ball during the time interval t€ [1,3]
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.
![2) A ball is thrown vertically upward from the top of a building.
[A 17]
It has a height function g(t) = -11t² + 72t + 95, where g(t) is in metres and "t" is in
seconds.
i. Determine the average rate of change of the height of the ball during the time interval
t€ [1,3]
ii. What is the instantaneous speed of the ball at t = 3 seconds? You MUST use an
appropriate limit function here.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7d56345-9597-4261-b4a5-606abfcdce46%2Fe7956d95-5caf-46c6-bb50-b2c517d172dc%2F15er4on_processed.png&w=3840&q=75)
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