The acceleration of a particle is defined by the relation a = = 3e−0.2t, where a and t are expressed in ft/s2 and seconds, respectively. Knowing that x = 0 and v = 0 at t = 0, determine the velocity and position of the particle when t = 0.5 s. The velocity and position of the particle when t = 0.5 s is ft/s and ft, respectively.

Alfred pushes on a heavy box, but cannot move it. the box has a lot of inertia motion friction gravity

Two steel balls, each of mass m, are welded to a light rod of length l and negligible mass and are initially at rest on a smooth horizontal surface. a horizontal force of magnitude f is suddenly applied to the rod as shown. determine (a) the instantaneous acceleration a of the mass center g and (b) the corresponding rate at which the angular velocity of the assembly about g is changing with time.

Sort the images based on whether there's a force of attraction or repulsion between the magnets shown. attraction repulsion