the motion of an underdamped oscillator is described by equation x=ae−(b/2m)tcos(ω′t ϕ), where ω′=km−b24m2−−−−−−√. let the phase angle ϕ be zero.

Often called simply "velocity," this is the velocity of an object at a particular moment in time.

Atruck driver is attempting to deliver some furniture. first, he travels 8 km east, and then he turns around and travels 3 km west. finally, he turns again and travels 13 km to his destination. what is the drivers total displacement?

Aprotein molecule in an electrophoresis gel has a negative charge. the exact charge depends on the ph of the solution, but 30 excess electrons is typical. what is the magnitude of the electric force on a protein with this charge in a 1600n/c electric field? write in two significant numbers, and also in newton