A boy and his dogs are running. The white dog has a mass of 10 kg. The black dog has a mass of 20 kg. The boy has a mass of 40 kg. They are all running at 3 m/s. 1. Determine the kinetic energy of the dogs and the boy. Record the kenetic energy for each.

2. Suppose the smaller dog (the white dog) speeds up to 6 m/s. What is the kenetic energy of the dog now? How is kenetic energy related to speed?

I need answers quick if possible please!

Quantum mechanics applies to subatomic, atomic, nanometer-size, and micrometer-size systems. nanometer, micrometer, and kilometer-size systems. atomic, nanometer-size, and micrometer-size systems. subatomic, atomic, and nanometer-size systems.

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)

(1 point) match the differential equations and their vector valued function solutions. you may wish to multiply at least one solution out fully, to make sure that you know how to do it. you can get the other answers quickly by process of elimination and just multiply out one row element.