a) Derive the equation of motion v = u +at, using graphical method. Consider the following graph as the reference for the derivation of equation. (b) A train starting from rest attains a velocity of 72 km/h in 5 minutes. Assuming the acceleration is uniform, find (i) the acceleration. (ii) the distance travelled by the train for attaining this velocity.
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So we have to derive …
v = u + at ….
Which is First equation of motion ….
So , to derive it I am going to use Integration method ….
In the equation v = u+ at ….
v = final velocity
u = initial velocity
a = acceleration
t = time period of acceleration
Here we should note that acceleration is constant ….
So let's start to derive First equation of motion ..
We know that
a = dv/dt
So …
dv = adt
Now integrating both sides ….
So I cannot find some of the mathematical symbols in my phone's keyboard so I cannot write the answer but I will provide a pic of derivation of First equation of motion using integration …
Explanation:
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