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Ali Asadullah
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How can we prove that (vf+vi)/2 is valid only for constant acceleration?? 
Equation of motion and acceleration
- Thread starter Ali Asadullah
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In summary, the equation of motion and acceleration is a mathematical representation of the relationship between an object's displacement, velocity, and acceleration over time. Velocity measures an object's rate of change in displacement, while acceleration measures an object's rate of change in velocity. According to Newton's second law of motion, acceleration is directly proportional to the net force applied on an object and inversely proportional to its mass. The units of acceleration are meters per second squared, but can also be expressed in other units. The equation of motion and acceleration is used in various fields to study the movement of objects and predict their future positions and velocities, as well as in understanding the motion of celestial bodies in space.
- #2
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That is not true. It can be valid for non-constant acceleration, in some cases.Ali Asadullah said:How can we prove that (vf+vi)/2 is valid only for constant acceleration??
Example:
v = At3 + B, -1 s ≤ t ≤ 1 s, where A and B are constants
What is the equation of motion and acceleration?
The equation of motion and acceleration is a mathematical representation of the relationship between an object's displacement, velocity, and acceleration over time. It is commonly written as s = ut + 1/2at^2, where s is the displacement, u is the initial velocity, a is the acceleration, and t is the time.
What is the difference between velocity and acceleration?
Velocity is a vector quantity that measures the rate of change of an object's displacement over time, while acceleration is a vector quantity that measures the rate of change of an object's velocity over time. In simpler terms, velocity tells us how fast an object is moving in a specific direction, while acceleration tells us how much an object's velocity is changing.
How is acceleration related to force?
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force applied on the object and inversely proportional to its mass. In other words, the greater the force applied on an object, the greater its acceleration will be, and the larger the mass of the object, the smaller its acceleration will be.
What are the units of acceleration?
Acceleration has the SI unit of meters per second squared (m/s^2). However, it can also be expressed in other units such as feet per second squared (ft/s^2) or kilometers per hour squared (km/h^2).
How is the equation of motion and acceleration used in real life?
The equation of motion and acceleration is used in a wide range of fields, including physics, engineering, and astronomy. It is used to study the movement of objects and predict their future positions and velocities. It is also essential in understanding the motion of planets and other celestial bodies in space.
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