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Please solve 21 question

21. The acceleration of a moving body is constant in magnitude and direction. Must the path of the body be a straight line? If not, give an example.

For the motion of a particle to be a straight line, the acceleration should be constant in direction (magnitude being constant is not required) and the initial velocity should be along the line of the acceleration of the particle. Both conditions are required.

So if the acceleration of a moving body is constant in magnitude and direction. We can't say that the path of the body must be a straight line. If the velocity of the particle is along the line of acceleration than yes its path will be a straight line. If not then its path will not be a straight line.

Example :- Projectile motion, where the acceleration of the particle if 'g' constant in both magnitude and direction but since initial velocity is not vertical the particle follows a parabolic path instead of a straight line.

I hope ypu find it useful. Keep asking question.

Regards

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