Derive the uncertainty relation for the following pairs of operators: (a) the momentum operator and the kinetic energy operator. (b) the momentum operator and the total energy operator (use general form v(x) as the potential energy).

May someone explain how to do this question?

The x-coordinate of a particle in curvilinear motion is given by x = 3.1t3 - 4.9t where x is in feet and t is in seconds. the y-component of acceleration in feet per second squared is given by ay = 2.3t. if the particle has y-components y = 0 and vy = 5.0 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 1.8 sec. sketch the path for the first 1.8 seconds of motion, and show the velocity and acceleration vectors for t = 1.8 sec. answers: v = ft/sec a = ft/sec2

How is the gravitational force related to the distance between two objects?