suppose that oil spilled from a tanker and spreads in a circular pattern whose radius increases at a constant rate of .5 feet per second.

Question

-find a function f that models the radius of the oil spill as a function of time r=f(t) with t measured in seconds. How long before the radius reaches 60 feet? how large is the radius after 1 minute? after 1 hour?
-find a function g that models the area (sq. feet) of the oil spill as a function of the radius A=g(r) Calcuate the area (sq. ft.) covered by oil when the radius reaches 60 feet.
-find the composite function h=g*f what does this fuction represent? evaluate h(30) = (g*f)(30) and explain what this represents include units.
-calcuate the area (Sq ft) covered by oil 30 seconds after the taker ruptured 1 minute after the tanker ruptured and 1 hour after the taker ruptured
-calculate the average rate of change of the amout of oil spilled sq feet per second from t=0 to t=30 seconds and from t=30 seconds to t=60 seconds is the area of the oil spill chaging at a cosntant rate with time? what does this imply? what does the inverse function h^-1 represent? Evaluate h^-1(30) and explain what this represesnts include unites