Head or tails Context To play heads or tails, you toss a 25 cent coin in the air straight up. To make sure you don't hit the ceiling, you want to predict the maximum height the room will reach, taking into account uncertainty as well. Constraints The initial height of your hand is fixed, and accompanied by uncertainty; The gravitational acceleration used will be ?=(9.81±0.01)m/s^2; The movement is perfectly vertical. Modelization Start by modeling the situation by writing an equation that calculates the maximum height reached by the coin (ymax) based only on the initial speed of the throw as well as the height of your hand when you throw the coin. Then test your model with the following values: Height of your hand = (1.01±0.02)m; Speed of the coin when it leaves your hand = (2.17±0.04)m/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.
Head or tails
Context
To play heads or tails, you toss a 25 cent coin in the air straight up. To make sure you don't hit the ceiling, you want to predict the maximum height the room will reach, taking into account uncertainty as well.
Constraints
The initial height of your hand is fixed, and accompanied by uncertainty;
The gravitational acceleration used will be ?=(9.81±0.01)m/s^2;
The movement is perfectly vertical.
Modelization
Start by modeling the situation by writing an equation that calculates the maximum height reached by the coin (ymax) based only on the initial speed of the throw as well as the height of your hand when you throw the coin.
Then test your model with the following values:
Height of your hand = (1.01±0.02)m;
Speed of the coin when it leaves your hand = (2.17±0.04)m/s;
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