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

During spring semester at mit, residents of the parallel buildings of the east campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. a balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. assume that the stretching of the hose obeys hooke's law with a spring constant of 89.0 n/m. if the hose is stretched by 5.80 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length? unitst 3 number-1497 the tolerance is +/-5% open show work click if you would like to show work for this question:

What is the energy of a photon of ultraviolet radiation with a frequency of 4.4 × 1015 hz? planck’s constant is 6.63 × 10–34

(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.