Physics

Constant speed does not guarantee that acceleration is zero. For example a body moving with constant speed in a circle changes its velocity every instant and hence its acceleration is not equal to zero.

For a decelerating body, direction of velocity and acceleration is always opposite in direction.

Example: When a body is thrown vertically upwards, during the upward motion, its velocity decreases and at the highest point it becomes zero. This is a case of retardation.

Where $x$ is a displacement vector.

jerk = $dtda $

Acceleration is defined as $a=dtdv $

$∴a=dxdtdxdv $

$a=dxvdv $

Example:

If the velocity of a particle is given by $v=(180−16x)_{1/2}m/s$, then find its acceleration.

Solution:

$a=dtdv =dtdx dxdv =vdxdv $

$v=(180−16x)_{21}v_{2}=180−16x$

Differentiate both sides w.r.t $x$, we get:

$2vdxdv =−16vdxdv =a=−8m/s_{2}$ExampleDefinitionsFormulaes

ExampleDefinitionsFormulaes

ExampleDefinitionsFormulaes

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