2.6 Rectilinear Motion with Constant Acceleration (cont.2)

When the acceleration is constant and the velocity-time graph is a straight line. The velocity changes at a uniform rate. In this particular case the average velocity throughout any time interval is the simple arithmetic average of the velocities at the beginning and the end of the interval.For the time interval 0 to t,


vav=(vo+v)/2
vav=vo+0.5at


For displacement x-xo gives


vav= (x-xo)/t , or x=xo+vot+0.5at^2

v^2 =Vo^2+2a(x-xo)

x-xo=((vo+v)/2)t



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