From the window of a building, a ball is tossed from
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From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.10 m/s and angle of 22.0° below the horizontal. It strikes the ground 4.00 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.)
(b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity.
(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.)
(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
| xi | = |
0
|
| yi | = |
y0
|
(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 | = |
7.5101t
|
| y | = |
−3.0343t−4.905t2
|
(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
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