Math, asked by PRINCEfanclub, 5 hours ago

Q1.*For uniformly accelerated motion, the velocity attained by a particle after time 't' will be:*​

Answers

Answered by ramsmedicine
0

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 velocity

Change in velocity = AB = v - u

Time = AD = t

a=

t

v−u

Solving we get

v=u+at.(1

st

equation of motion

Step-by-step explanation:

Answered by PRINCE100001
14

Step-by-step explanation:

Given:

An object is uniformly accelerated.

To find:

Velocity attained after time t ?

Calculation:

Since, acceleration is said to be constant, we can apply the 1st Law of Kinematics as follows:

v=u+at

'v' is final Velocity, 'u' is initial velocity.

This can be also proved with calculus:

Let acceleration be constant and equal to 'a'.

\therefore \: acc. = a

\implies \: \dfrac{dv}{dt} = a</p><p>

\implies \: dv = a \: dt

Integrating on both sides:

\displaystyle\implies \:\int_{u}^{v} dv = a \int_{0}^{t}\: dt

\displaystyle\implies \:v - u = a(t - 0)

\displaystyle\implies \:v - u = at

\displaystyle\implies \:v = u + at

[Hence Proved].

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