1. Suppose h(t) represents the height of an object above the ground at time t, where the height is measured in feet and the time t is measured in seconds. If $h(t)=-16t^2+48t + 144$, what is the velocity of the object at time t = 0?
2. Determine all the points on the graph of $f(x) = x^3+x^2-x-1$ for which the tangent line is horizontal.
3. Find the derivative of the following function: $y = x - x^3 \sin x$