The motion of a body is described by the equation 3.25 sin (0.320πt), where t is in seconds and y is in meters. a. Find the frequency.   b. Find the displacement at t = 3.50 s.   c. Find the displacement at t = 25.0 s.

The motion of a particle is given by x = A sin3(ωt). a. Enter an expression for the amplitude of the particle's motion.  b. Enter an expression for the particle's velocity, v.  c. Enter an expression for the particle's acceleration, a.

8. A stone is dropped into a deep well and is heard to hit the water 9.6 sec after being dropped. Determine the depth of the well. 9. The observation deck of tall skyscraper 370 m above the street. Determine the time required for a penny to free fall from the deck to the street below. 10. A feather is dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 3.711 m/s?. Determine the time for the feather to fall to the surface of the moon.

2. The position of a drone as a function of time is given by *(t) = ( 8 i + 1.5 k) + (-3 î + 2 j) t – 0.5 t2 j The units are missing in the constant coefficients above, i.e., "0.5" should be "0.5 m/s2". Include the correct units on all the constant coefficients in your answers below. a. What is the x-position of the drone as a function of time? b. What is the y-position of the drone as a function of time? c. How far away is the drone from its starting position at t = 3s? d. What is the acceleration vector? е. What is the velocity vector as a function of time? (One way to do this is to take the time derivative of the position vector.) f. Make a sketch of the x, y, and z positions of the drone as function of time. You just need the general shape. time time time