If the position function is s(t) = t^3 - 3t^2 + 2t, find the position at t = 2.

A car moves along a straight road with velocity $v\left(t\right)=30e^{-t}$ for $t\in [0,5]$. What is the displacement of the car over this interval?

Suppose the acceleration of a particle moving along a straight path is given by a function of position $a\left(x\right)=-\frac{k}{{(1+\frac{x}{L})}^2}$, where $k$ and $L$ are positive constants. Using the Chain Rule, relate $\frac{dv}{dt}$ and $\frac{d}{dx}\left(v^2\right)$, where $v=\frac{dx}{dt}$.

How do you calculate work done when the force is constant?

If it takes $25\text{ N}$ to hold a spring stretched $0.1\text{ m}$ beyond its equilibrium, how much work is required to stretch the spring $0.2\text{ m}$ from equilibrium?

A crane lifts a 200 kg object vertically 10 meters. Calculate the work done.