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Grade 10 - Mechanics - LO.1 - Position, displacement, average and instantaneous velocity

Grade 10 - Mechanics - LO.1 - Position, displacement, average and instantaneous velocity
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Tuesday, June 14, 2022


      

We have in LO.1 Mechanics G10

First: the Concepts


A. Position /Time graphs
B. velocity/Time graphs
C. Acceleration /Time graphs
D.Relative velocity.
E.Instantaneous velocity
F.Average velocity
G. Reference Frames


Second: the References

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Third: the Videos links



Fourth: Skills


A. Use concepts of position, displacement, time, elapsed time, average velocity, instantaneous
velocity, speed, and acceleration to understand and describe the movement of objects in 1D.
B. Graphically determine average spped between two time points, estimate instantaneous velocity at one time point
C. Compute relative velocities in classical mechanics (i.e., with speeds substantially less than the speed of light) in 1D
D. Can explain the need for constant reference frame, and explain the signs of displacement, velocity, and acceleration within that frame.


Fifth: the materials as PPT., DOCX., and PDF

In the Drive from this link


Few Notes:


Velocity is defined as a vector measurement of the rate and direction of motion. Put simply, velocity is the speed at which something moves in one direction. The speed of a car traveling north on a major freeway and the speed a rocket launching into space can both be measured using velocity.

As you might have guessed, the scalar (absolute value) magnitude of the velocity vector is the speed of motion. In calculus terms, velocity is the first derivative of position with respect to time. You can calculate velocity by using a simple formula that includes rate, distance, and time.

Velocity Formula

The most common way to calculate the constant velocity of an object moving in a straight line is with this formula:

  • r = d / t
  • r is the rate or speed (sometimes denoted as v for velocity)
  • d is the distance moved
  • t is the time it takes to complete the movement

Units of Velocity

The SI (international) units for velocity are m/s (meters per second), but velocity may also be expressed in any units of distance per time. Other units include miles per hour (mph), kilometers per hour (kph), and kilometers per second (km/s).

Speed, Velocity, and Acceleration

Speed, velocity, and acceleration are all related to each other, though they represent different measurements. Be careful not to confuse these values with each other.

  • Speed, according to its technical definition, is a scalar quantity that indicates the rate of motion distance per time. Its units are length and time. Put another way, speed is a measure of distance traveled over a certain amount of time. Speed is often described simply as the distance traveled per unit of time. It is how fast an object is moving. 
  • Velocity is a vector quantity that indicates displacement, time, and direction. Unlike speed, velocity measures displacement, a vector quantity indicating the difference between an object's final and initial positions. Speed measures distance, a scalar quantity that measures the total length of an object's path.
  • Acceleration is defined as a vector quantity that indicates the rate of change of velocity. It has dimensions of length and time over time. Acceleration is often referred to as "speeding up", but it really measures changes in velocity. Acceleration can be experienced every day in a vehicle. You step on the accelerator and the car speeds up, increasing its velocity.

Why Velocity Matters

Velocity measures motion starting in one place and heading toward another place. The practical applications of velocity are endless, but one of the most common reasons to measure velocity is to determine how quickly you (or anything in motion) will arrive at a destination from a given location.

Velocity makes it possible to create timetables for travel, a common type of physics problem assigned to students. For example, if a train leaves Penn Station in New York at 2 p.m. and you know the velocity at which the train is moving north, you can predict when it will arrive at South Station in Boston.


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