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Question
The distance - time graph for a particle is a straight line. Show that its speed is constant.
The distance - time graph for a particle is a straight line. Show that its speed is constant.
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Solution
we know that speed is given as
v = dx/dt
Now,
if the slope of the graph remains constant the body will be moving equal distances in equal time intervals. So, the RHS of the above relation 'dx/dt' will remain the same throughout.
Thus, the speed will remain the same as well.
we know that speed is given as
v = dx/dt
Now,
if the slope of the graph remains constant the body will be moving equal distances in equal time intervals. So, the RHS of the above relation 'dx/dt' will remain the same throughout.
Thus, the speed will remain the same as well.
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