Answer:
162
Explanation:
In this problem, we know that the position of the particle is described by the equation
where t is the time.
The velocity of the particle can be calculated as the derivate of the position; so we find:
Similarly, the acceleration of the particle can be found by calculating the derivative of the velocity.
By doing so, we find an expression for the acceleration:
Therefore, this is the expression for the acceleration of the particle.
Now we want to find the acceleration after 3 s. To do so, we substitute the value of t = 3 into the expression above; so we find: