Explain equations of motion using graphical method ? newtons equations
Answers
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Answer:
Equation for Velocity-Time relation by graphical method: First equation of Motion
Let an object is moving with uniform acceleration.
Velocity Time Graph
Let the initial velocity of the object = u
Let the object is moving with uniform acceleration, a.
Let object reaches at point B after time, t and its final velocity becomes, v
Draw a line parallel to x-axis DA from point, D from where object starts moving.
Draw another line BA from point B parallel to y-axis which meets at E at y-axis.
Let OE = time, t
Now, from the graph,
BE = AB + AE
⇒ v = DC + OD (Since, AB = DC and AE = OD)
⇒ v = DC + u (Since, OD = u)
⇒ v = DC + u ------------------- (i)
Now, Acceleration (a)
=Change in velocity/Time taken
⇒a = v−ut
⇒a = v-ut
⇒a=OC−OD/t
=DC/t
⇒at=DC -----(ii)
By substituting the value of DC from (ii) in (i) we get
v=at+u