A Particle moves along the x-axis according to the expression x = 3t2 – 2t. Where x is in m and t is in s (a) What is the displacement of the particle in the time intervals t = 0 to t = 1 s and t = 1 s to t = 4 s?
(b) Calculate the average velocity for the time interval in (a). (c) Find the instantaneous velocity of the particle at t = 3 sec.

Arrange the images in order to show how lake-effect snow occurs.

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.

If the specific heat of a metal is 0.850 j/g °c, what is its atomic weight?