Question

graphically derive the equation of motion v=ut 2at and hence use it to find the acceleration of acar whose velocity increase from 50m/s to 100km/h in a time of 4 hours​

Answer 1

Answer:

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Answer 2

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

motion v−u=at)

=ut+

2

1