The coordinates of an object moving in the xy-plane vary with time according to the equations x = −9.14 sin ωt and y = 4.00 − 9.14 cos ωt, where ω is a constant, x and y are in meters, and t is in seconds.
(a) Determine the components of the velocity of the object at t = 0.
(b) Determine the components of the acceleration of the object at t = 0.

The particle in a two-dimensional well is a useful model for the motion of electrons around the indole ring (3), the conjugated cycle found in the side chain of tryptophan. we may regard indole as a rectangle with sides of length 280 pm and 450 pm, with 10 electrons in the conjugated p system. as in case study 9.1, we assume that in the ground state of the molecule each quantized level is occupied by two electrons. (a) calculate the energy of an electron in the highest occupied level. (b) calculate the frequency of radiation that can induce a transition between the highest occupied and lowest unoccupied levels. 9.27 electrons around the porphine ring (4), the conjugated macrocycle that forms the structural basis of the heme group and the chlorophylls. we may treat the group as a circular ring of radius 440 pm, with 20 electrons in the conjugated system moving along the perimeter of the ring. as in exercise 9.26, assume that in the ground state of the molecule quantized each level is occupied by two electrons. (a) calculate the energy and angular momentum of an electron in the highest occupied level. (b) calculate the frequency of radiation that can induce a transition between the highest occupied and lowest unoccupied levels.

The minute hand of a clock is 7cm long. calculate the displacement and distance covered by it from 8 am to 8.30 am pls answer fast i will surely mark as brainliest fast fast fast

In the cores of extremely hot red giants, nuclear reactions convert helium to