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A particle is moving with a acceleration , and .
The acceleration of the object is , where is the velocity.
Hence .
The anti derivative of is .
The anti derivative of is .
The antiderivative of is
, where is the constant.
The velocity of the object is , where is the distance.
Hence .
The antiderivative of is
, where is the constant.
The distance of the object is .
Here .
Substitute in .
Substitute , and in .
Therefore the position of the particle is .
The position of the particle is .
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