Vector a with arrow, which is directed along an x axis, is to be added to vector b with arrow, which has a magnitude of 5.5 m. the sum is a third vector that is directed along the y axis, with a magnitude that is 6.0 times that of a with arrow. what is the magnitude of a with arrow? (enter your answer to 4 significant figures.)

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.