Question

the displacement x of a particle along x axis is given by x is equal to 7t square + 8t + 3 obtained its velocity and acceleration at is equal to 2 seconds

Answer 1

Answer is in pic bt unit of displacement is not given therefore i have taken it as metre

Answer 2

Answer:

velocity, v = 36 m/s and acceleration, a = 14 m/s²

Explanation:

The displacement of a particle is given as :

$y=7t^2+8t+3$

We know that velocity is defined as the distance covered per unit time and the rate of change of velocity is called acceleration.

$v=\dfrac{dy}{dt}$

$v=\dfrac{d(7t^2+8t+3)}{dt}$

$v=14t+8$

At t = 2 s, v = 36 m/s

Similarly, $a=\dfrac{dv}{dt}$

a = 14 m/s²

Hence, this is the required solution.