A radioactive nucleus at rest decays into a second nucleus, an electron, and a neutrino. The electron and neutrino are emitted at right angles and have momenta of 9.90×10−23 kg⋅m/s and, 6.85×10−23 kg⋅m/s respectively.
a. Determine the magnitude of the momentum of the second (recoiling) nucleus.
b. Determine the direction of the momentum of the second (recoiling) nucleus. Assume that the neutrino and the electron move along −x and −y axes respectively.

Aball is thrown from the top of a building with an initial velocity of 21.9 m/s straight upward, at an initial height of 51.6 m above the ground. the ball just misses the edge of the roof on its way down, as shown in the figure. (a) determine the time needed for the ball to reach its maximum height. (b) determine the maximum height. (c) determine the time needed for the ball to return to the height from which it was thrown, and the velocity of the ball at that instant. (d) determine the time needed for the ball to reach the ground. (e) determine the velocity and position of the ball at t = 5.35 s.