Question

The displacement is given by x=2t2 + t+5 the acceleration at t= 2s is

Answer 1

Hello dear

Dsplacement is given by = 2t²+t + 5
so first we will find the velocity. by differentiating it once .
so
dx/dt => 4t + 1
so v= 4t+1
now again diff. with respect to time
we will get
a = dv/dt = 4
it means that acceleration is 4 m/s²

Answer 2

The acceleration of the object is 4 m/s².

Explanation:

It is given that,

The displacement is given by :

$x=2t^2+t+5$

Acceleration of a partice is given by :

$a=\dfrac{d^2x}{dt^2}$

So,

$\dfrac{dx}{dt}=\dfrac{d(2t^2+t+5)}{dt}\\\\\dfrac{dx}{dt}=4t+1$

Now,

$\dfrac{d(dx/dt)}{dt}=4\\\\a=4\ m/s^2$

So, the acceleration of the object is 4 m/s².

Learn more,

Aceleration

https://brainly.in/question/1253413