Aremote controlled car is moving in a vacant parking lot. the velocity of the car as a function of time is given by v= [5.00 m/s – (0.0180 m/s2)t^2 ]i+[2.00 m/s + (0.550 m/s2)t ]j .
a) what are ax(t) and ay(t), the x- and y- components of the velocity of the car as functions ?
b) what are the magnitude and direction of the velocity of the car at t= 8.00 s?

Which diagram correctly demonstrates the various forces acting on a ball moving horizontally with some speed?

Which statement is true? a. kepler's laws apply only to the motion of earth. b. kepler's laws can be used to predict eclipses. c. kepler's laws are true for a central force that is directly proportional to distance. d. kepler's laws can be deduced from newton's laws of motion and gravity.

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.