# Acceleration problem

Jun 17th, 2015
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1. A racing bike is being put through its paces on a straight stretch of road by a stunt man. The following velocity-time graph was obtained upon analysis of the bike’s performance characteristics:

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Work energy and powerIn general work is said to done when a body moves in a certain distance when force is applied to thatbody.Work:The work done by a force acting on the body is defined as the product of the force and the displacementof the body in the direction of the force.Constant Force :If the force is constant and it displaces the body through a distance (s) in the same direction, then workdone.W=FaBut if the displacementmakes an anglethe direction of force; thenwithConstant forcecomponent of displacement along the direction of force =so,work done by the force ,W=Fsi.e. the work done by a force is the scalar product of the force vector and displacement vector.2. Variable Force :If the force is variable, then for infinitely small displacement, the force is assumed constant, so the workdone during small displacementd W = F dx (one dimensional form)Then total work is joined by adding such small amounts of workThis is found in two ways :(i) By integration :Let body be displaced fromAndGraph of integration(ii) By graphical method :If a graph is plotted between force F and displacement x, then work done by the force from= Area enclosed by

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