A soccer ball is dribbled forward and backward on a soccer pitch. The ball is dribbled from one end, forward 40. feet in 6 seconds, then backwards 17 feet in 12.0 seconds, then forward 55 feet in 7.6 seconds, then backwards 19.6 feet in 3.6 seconds, then forward 22.2 feet in 8.2 seconds. There are 3.28 feet per 1 meter. a) What is the ball's total displacement? B) What is the ball's average velocity from beginning to end?

Aparticle of mass m is placed in a one-dimensional box of length l. the box is so small that the particle’s motion is relativistic, so that e p2/2m is not valid. (a) derive an expression for the energy levels of the particle using the relativistic energy–momentum relation and the quantization of momentum that derives from connement. (b) if the particle is an electron in a box of length l 1.00 1012 m, nd its lowest possible kinetic energy. by what percent is the nonrelativistic formula for the energy in error?