A spring is stretched 4 feet by a mass weighing 32 pounds. The mass is attached to a viscous damper that exerts a force of 10 pounds when the velocity of the mass is 1 foot/s. Gravitational acceleration is 32fts2 . What is the equation that describes the motion of this system?

60%

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!