Question

the displacement X of a particle is given by X=3-5t+2t²find the velocity at t=2second and acceleration ​

Answer 1

Answer:

The velocity of the particle at t = 2 s is 3 m/s and the acceleration at t = 4 s is .

Explanation:

The displacement x of a particle is dependent on time t according to the relation as :

Velocity of the particle,

At t = 2 s

v = 3 m/s

Acceleration of the particle is given by,

So, the velocity of the particle at t = 2 s is 3 m/s and the acceleration at t = 4 s is . hence, this is the required solution.

Learn more,

Velocity, acceleration

Explanation:

MARK ME THE BRAINLIEST

Answer 2

$\bf \LARGE \color{pink}Hola!$

GiveN :

$\sf \mapsto \: displacement \: ( x) = 3 - 5t + 2 {t}^{2}$

To FinD :

$\sf \mapsto \: Velocity \: \: at \: \: \: t \: = 2 \: sec$

SolutioN :

$\sf \mapsto \: x = 3 - 5t + 2 {t}^{2}$

$\implies \sf \: v \: = \frac{dx}{dt} = \frac{d}{dt} (3 - 5t + 2 {t}^{2} )$

$\implies \sf \: v \: = \frac{dx}{dt} = \frac{d}{dt} ( 3) - \frac{d}{dt} (5t) + \frac{d}{dt} (2 {t}^{2} )$

$\implies \sf \: v \: = \frac{dx}{dt} = 0 - 5+ 4t$

$\mapsto \sf \: \: \: \: \underline { Velocity \: \: at \: \: t=2 \: sec}$

$\implies \sf \: v \: = - 5+ 4 \times 2$

$\: \: \: \: \: \: \: \therefore \sf \:{ \underline{ \boxed{ \sf{ v \: = 3}}}}$

_____________________

HOPE THIS IS HELPFUL...