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 speeding up and slowing down using interval notation ? Thank you.

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

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?

If y varies inversely with x and y=11 when x=3 find the equation that relates x and y.