Question

using a consept of distance time graph derive the formula =u+at.​

Answer 1

Answer:

Let an object is moving with uniform acceleration.

u = initial velocity of object

v = final velocity of object

a = uniform acceleration

Let object reaches at point B after time (t) Now, from the graph

Slope = Acceleration (a) = time change in velocit y

Change in velocity = AB = v - u

Time = AD = t

a = v - u/t

Solving we get

v = u + at.........(1st equation of motion)

Hence by using distance time graph 1st equation of motion is derived.....

Hope it would help you.....

Answer 2

v = u + at

proof:-

by the definition of acceleration

$a = \frac{v - u}{t}$

so v=u + at is proved

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