The velocity of a particle traveling in a straight line is given by v = (6t - 3t'i [m/s], where t is in seconds. if x = 0 [m] when t = 0 [s), (a) determine the particle's acceleration and position when t= 4 ]. (b) is the particle speeding up or slowing down at t = 4 [s]? (c) sketch the motion of the particle during the 4 seconds. (d) how far has the particle traveled during the 4.s time interval, and what is its average speed?

The us government wants to allocate billions of dollars in the next 10 years to assure our future energy security. the funds will be spread among a variety of possible energy resources. where do you think the government should put the greatest support: solar energy, wind energy, clean coal, oil exploration, gas exploration, or a combination of sources? are there other efforts that should be explored? support your position with cited information for both questions.

Part 1: a magnetic levitation or maglev train rides rails without touching them. explain how this works using your data. include the appropriate magnet drawing in your answer. part 2: two objects are near a bar magnet. one is about 1 cm away, while the other is 6 cm away. compare and contrast the magnetic force that affects each object. use your data to answer the question

Wavelength of 125 meters is moving at a speed of 10 m/s. what is it's frequency?