I just came across a calculus word problem about integration; specifically, the area between two curves. Two runners, starting at the same location, run along a straight road for 1 hour. The velocity of one runner is \(\boldsymbol{v_1\left(t\right) = 7t}\) and the velocity of the other runner is \(\boldsymbol{v_2\left(t\right) = 10\sqrt{t}}\). ...