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 Scenario
Imagine a diver jumping off a spring board that is 10 feet above the water. The board throws the diver up with a upwards velocity of 9 feet per second. That means that if there
were no gravity, the diver would keep going up at the rate of 9 feet every second. Fortunately for the diver, there is gravity. Eventually, gravity over comes the force of the diving
board and the the diver begins to come down. So over all, the diver is thrown into the air fairly quickly. He slows down until he stops then begins to come back down (slowly at
first, then faster and faster until he hits the water).
The height of any object like the diver that is projected into the air can be modeled with the following function:
h(t) = -16t^2 + v*t + m
The Project
Pretend that you shoot a stone from a slingshot straight up above your head. Research on the internet about the speed or velocity produced by slingshot and decide on what the
initial velocity of your imagined slingshot will be. There will be different velocities for different sling shots. Just pick one. It doesn't matter which one you choose.
Create a presentation that describes mathematically what happens to the height of a stone after you shoot it into the air.
Include in your presentation a function that describes the height of the stone t seconds after it is shot. Explain what each part of the function represents in the scenario.
Include interesting facts and how you obtained them like: How long it will take for the stone to hit the ground? What is the highest height the stone reached and how long did it
take to get there?
Feel free to include tables, graphs or any other images to help make your points and illustrate your ideas.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff53651b5-9432-40f3-a68e-31b69fe6ebe8%2Fb615bbe8-6bd9-4587-a514-4fdec1aafc8b%2Fht40vtb_processed.png&w=3840&q=75)
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