Question

An object moves along the x-axis, its position at each time t≥0 is given by x(t)=(1/4) t^4 − t^3 + t^2. Determine the time interval(s), if any, during which the object moves right.

Answer 1

answer is when 0<t<1 and t>=2, think about how x changes as t increases, and what the change needs to be for it to be moving right (use calculus).