The position of a particle, x at anytime, t is given by x=6-12t + 4t. What is the distance covered after 2 minutes?
Calculate the displacement of the particle from t1=2 seconds to t2= 5seconds
Find the velocity and acceleration of the particle at anytime.
Calculate the time the particle will be at rest
What is the initial position of the particle before the motion?
What is the maximum velocity of the particle?
Find the velocity of the particle at t=2

The ultracentrifuge is an important tool for separating and analyzing proteins. because of the enormous centripetal accelerations, the centrifuge must be carefully balanced, with each sample matched by a sample of identical mass on the opposite side. any difference in the masses of opposing samples creates a net force on the shaft of the rotor, potentially leading to a catastrophic failure of the apparatus. suppose a scientist makes a slight error in sample preparation and one sample has a mass 10 mg larger than the opposing sample. if the samples are 12 cm from the axis of the rotor and the ultracentrifuge spins at 70,000 rpm, what is the magnitude of the net force on the rotor due to the unbalanced samples? ( be thorough on your answer)