explain the meaning of the following equation of motion:v=u +at, where the symbols have their usual meanings.
Answers
v is the final velocity, u is initial velocity, a is acceleration, t is time.
The final velocity must be different from the initial one do we add up something to it which is dependent on the accrleration. Now we cant simply add velocity and acceleration as their units dont add up. So to make the units of acceleration into velocity, we just multiply it by time and add the term to the initial velocity. This hives us the final velocity.
This is the meaning of this equation: The velocity of the object is dependent upon the acceleration and the duration of it and the velocity with which we started. It dont make ant sense if we just take any one of them as the factor affecting the velocity so we take thrm all together(+). Since we want the velocity, we have to start with velocity. So everything must be in terms of speed. 'Cause acceleration is derivative of velocity with respect to time, we can get velocity by acceleration and time. So we just simply put them together to form velocity(×). So we got all the terms affecting velocity together, we got our resulr(=) as final velocity.
For more simplification, we assume a car moving on a road with foot on the accelerator. our speed is dependent on 3 things, speed by which we started, time we keep on pushing the accelerator and how hard we push it. The firce on accelerator is the accelration of the car, time you know and the speed too. So we get the velocity as a redult.
Hope this helps
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