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Using velocity time graph derive equation …

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Using velocity time graph derive equation of motion .. s=ut+1/2at^2
  • 1 answers

Meghna Thapar 6 years, 1 month ago

  • Equation For Position - Time Relation:

Let us consider that the object has travelled a distance s in time t under uniform acceleration a. The distance travelled by the object is obtained by the area enclosed within OABC under the velocity-time graph AB. Thus, the distance s travelled by the object is given by

s = area OABC (which is a trapezium)

= area of the rectangle OADC + area of the triangle ABDM.

= OA × OC + 1/2 (AD × BD)

 

Substituting OA = u, OC = AD = t and BD = at, we get

s = u × t + 1/2 (t×at)

or

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