Question

Derive equations of motion for
constant accelerated motion
from the graph .​

Answer 1

Answer:

Graphical method  :  Consider an object moving along a straight line with uniform acceleration a let u be the initial velocity of the object at time t=0 and v be the final velocity of the object at time t . let s be the distance travelled by the object in time t.

velocity -time graph of this motion is a straight line PQ as shown in the figure  

where OP=u=RS

OW=SQ=v and  

OS=PR=t

(I) for the first equation of motion :  we know that the slope of velocity -time graph of uniformly accelerated motion represents the acceleration of the object  

i.e. acceleration = slope of the velocity -time graph PQ