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57

Step-by-step Answer
PAGE: 284SET: ExercisesPROBLEM: 57
Please look in your text book for this problem Statement

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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