Question

If particle start from rest moves in straight line with constant acceleration.
Draw following graphs
(a) Position Vs time
(b) Velocity Vs time​

Answer 1

Explanation:

solution in pic.........

Answer 2

To do :

If particle start from rest moves in straight line with constant acceleration.

Draw following graphs

(a) Position Vs time

(b) Velocity Vs time

Solution:

Let constant acceleration be "a" :

So, we can express the acceleration as :

$\therefore \: a = \dfrac{dv}{dt}$

$\implies \: dv = a \: dt$

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

$\displaystyle\implies \: v = at$

So, velocity - time graph will be linear with positive slope.

$\displaystyle\implies \: v = at$

$\displaystyle\implies \: \dfrac{dx}{dt} = at$

$\displaystyle\implies \: dx = a \: t \: dt$

$\displaystyle\implies \: \int_{0}^{x} dx = a \: \int_{0}^{t} t \: dt$

$\implies \: x = a {t}^{2}$

So, displacement - time graph will be parabolic.