Hi, i am having trouble with solving this problem and need help. Thank you.  A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet.  f(t)=t^3 - 9t^2 +24t  . When is the particle moving in the positive direction? What would the answer be using interval notation?

Solve each problem. w is directly proportional to z. If w=-6 when z=2, find w when z=-3.

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?

The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?

Explain the meaning of G(4,3,2) and calculate its value.