derive the second equation of motion for uniformly accelerated motion
Answers
Derive the equations of motion for uniformly accelerated motion from velocity-time graph. Equations of motion by graphical method. Consider an object moving along a straight line with initial velocity u and uniform acceleration a. Suppose, it travels distance s in time t.
Answer:
Velocity is defined as the rate of change of displacement. This is mathematically represented as:
Velocity=DisplacementTime
Rearranging, we get
Displacement=Velcoity×Time
If the velocity is not constant then in the above equation we can use average velocity in the place of velocity and rewrite the equation as follows:
From the first equation of motion, we know that v = u + at. Putting this value of v in the above equation, we get
s=u+(u+at))2×t
s=2u+at2×t
s=(2u2+at2)×t
s=(u+12at)×t
On further simplific