Question

Show by means of graphical method that :- v=u+atwhere the symbol have their usual meaning?

Answer 1

Answer:

Let's assume that an object is moving with uniform acceleration , having initial velocity as u and final velocity as v.

Now , we can tell that the graph of the acceleration vs time will have following characteristics:

• Graph will be linear
• It will be parallel to time axis.

We know that area under Acceleration vs time graph gives us the change in velocity :

$\bigstar \: \: change \: in \: vel. = area$

$= > \Delta v = area \: under \: the \: graph$

$= > v - u = area \: of \: rectangle$

$= > v - u = a \times t$

$= > v = u + at$

[ Hence proved ]

Answer 2

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QUESTION :

Show by means of graphical method that :- v=u+atwhere the symbol have their usual meaning?

SOLUTION :

Derivation Of The First Equation Of Motion { Graphical Method } -

See the attachment above.

This figure shows a velocity versus time graph.

The time intervals are depicted on the X axis and the velocity on the Y axis.

We know that acceleration is rate of change of velocity in unit time.

So,

Acceleration = ∆ V / ∆ T = { V - U } / T

Hence Derived....