Let s(t)=4t to the thrid power+30t squared+72t be the equation of motion for a particle. Find a function for the velocity.v(t)=  Where does the velocity equal zero? [Hint: factor out the GCF.]t= and t=Find a function for the acceleration of the particle. a(t)=

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

Find the unknown value. y varies inversely as the square of x and when x=3,y=2. Find y if x=1.

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?