Precalc question

Question

A car leaves Seattle heading east. The speed of the car in mph after m minutes is given by the function C(m) = 70m^2 / (10 + m^2) .

(a) Find a function m = f(s) that converts seconds s into minutes m. Write out the formula for the new function C(f(s)); what does this function calculate?

(b) Find a function m = g(h) that converts hours h into minutes m. Write out the formula for the new function C(g(h)); what does this function calculate?

(c) Find a function z = v(s) that converts mph s into ft/sec z. Write out the formula for the new function v(C(m); what does this function calculate?

Answer 1

f(s) = s/60

g(h) = 60*h

v (s) = s*5280/3600