Sunday, December 27, 2009

An object has a uniform acceleration a, after a time t, its final velocity is v?

how would i sketch a graph of velocity against time for this object, using the info provided. Please help, thanks.An object has a uniform acceleration a, after a time t, its final velocity is v?
if the object has uniform acceleration, then the object's velocity increases at a uniform rate.





therefore the line will be diagonal (positive). like this ';/';


x-axis is ';t'; and y-axis is ';v';.





at time t (mark it anywhere on the x-axis), draw a vertical line until u reach the diagonal line. then from there, draw a horizontal line to the y-axis, mark that v.





hope tht helpsAn object has a uniform acceleration a, after a time t, its final velocity is v?
The equation is v = u + at





Mark on an x-y coorinate system (page) the value of 'u' on the y axis - call it OP. The origin being O. Call the y-axis 'Velocity'.


Mark on the x axis the values of 't' - better still call it the t-axis and write 'Time' under it.


Through P draw a line PQ to the right whose slope is 'a'.


Ensure that units are compatible with each other.


For example u and v should be in say metres per second and t should be in seconds and acceleration should be in metres per second per second.


Chose any point on PQ call it Q'. Drop a perpendicular from Q' onto the t axis and call the point of intersection R', which is a distance of


OR' from the origin.


The length of Q'R' gives the velocity at the time t = OR'
V=at+v0,is similar to y=mx+b

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