The correct answer is 1.5 seconds.
We are aware that the differentiation is used to calculate the rate at which a quantity changes over time. We are aware that the velocity is the name given to the derivative of the displacement. Acceleration is what we get when we differentiate velocity.
x = t^4 - 6t^2 + 9t
To calculate the velocity, take the derivative.
v = 4t^2 - 12t + 9
To acquire acceleration, repeat the derivative.
a = 8t - 12
force:
F = ma
If a = 0, F = 0. As a result, when a = 0, the net force on the locomotive is equal to zero.
a = 0 = 8t -12
8t -12 = 0
8t = 12
t = 12/8 = 1.5 seconds
To learn more about acceleration refer the link:
https://brainly.com/question/20365677
#SPJ4
