From the window of a building, a ball is tossed from a height y₀ above the ground with an initial velocity of 7.90 m/s and angle of 24.0 below the horizontal. It strikes the ground 5.00 s later.

(a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y₀. Assume SI units. Do not substitute numerical values; use variables only.)

xi

=

yi	=

(b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity.

vi, x	=	m/s
vi, y	=	m/s

(c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y₀ and t. Assume SI units.)

x

=

m
y	=

m

(d) How far horizontally from the base of the building does the ball strike the ground? m (e) Find the height from which the ball was thrown. m (f) How long does it take the ball to reach a point 10.0 m below the level of launching? s