Deduce the position - velocity relation for a uniformly accelerated motion along a straight line.

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Q. Deduce the equations of a uniformly accelerated motion in one dimension by calculus method.

Q. A body starts from rest and moves along a straight line. It is uniformly accelerated at a rate of 2 m/s' for lOs. For next 20 sec., the body moves with uniform velocity.Then a negative acceleration of 2 m/s acts on the body till the body comes to rest again. Draw velocity-time graph for entire motion.

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Q. Assertion :The position-time graph of a body moving uniformly in straight line is parallel to position axis Reason: The position-time graph in a non-uniform motion gives constant velocity at all instants of time.

For a uniformly retarded motion, the velocity-time graph is :

(a) a curve

(b) a straight line parallel to the time axis.

(d) a straight line inclined to the time axis.

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