Question

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The velocity of an object at rest is considered to be uniform...


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Answer 1

Answer:

Explanation:

1) THE VELOCITY OF AN OBJECT IS SAID TO BE IN UNIFORM MOTION WHEN IT'S SPEED IS CONSTANT ALL THE TIME.

2) FOR AN OBJECT AT REST,IT'S SPEED IS ZERO ALL THE TIME.

3) THEREFORE, THE VELOCITY OF AN OBJECT AT REST CAN BE CONSIDERED TO BE UNIFORM

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Answer 2

THIS IS FROM THE CONCEPT OF LINEAR MOTION

we will now go deep in this

according to the theory

velocity is constant when acceleration is zero

now, we knew that the derivative of position gives us the velocity and derivative of velocity gives acceleration

so accordingly, second derivative of position will give us acceleration which in turn has to be zero

let's go to the mathematical aspects

$let's \: consider \: the \: position \: to \: be \: x \\ \frac{dx}{dx} = 1 \\ nw \: lets \: take \: the \: derivative \: of \: velocity \\ \frac{d(1)}{dx} = 0 \\ (derivative \: of \: constant \: is \:0 ) \\ \\ ths \: gives \: acceleration \: as \: 0$

thus we conclude:

that if acceleration is 0 velocity will be uniform.

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