A merry-go-round at an amusement park is initially at rest. It begins to rotate at time t = 0 . The angle through which it rotates is defined by θ(t) = ( t + ke−t/k) , where k is a positive constant, t is in seconds, and θ is in radians. Find the angular velocity of the merry-go-round at t = T.

Asmall object with mass 0.200 kg swings back and forth on the lower end of a light rope that is 3.00 m long. the upper end of the rope is attached to the ceiling. as the object swings through its lowest position, where the rope is vertical, the speed of the object is 5.80 m/s. at this point in the motion, what is the tension in the rope? (use g = 9.80 m/s2.)

The average time that it takes for the car to travel the first 0.25m is s. the average time to travel just between 0.25 m and 0.50 m is s. given the time taken to travel the second 0.25 m section, the velocity would be m/s.

2. which of the following devices is associated with the reception of radio signals? o a. demodulator o b. transmitting antenna o c. oscillator o d. microphone