A metal ball is projected downward at an angle of 25° with the horizontal from the top of a building 300 m high. Its initial velocity is 20 m/s. (1) How long will it take before striking the ground? (2) How far from the base of the building will it strike? (3) With what velocity will it hit the ground? (4) At what angle with the horizontal will it strike?

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Chapter1: Units, Trigonometry. And Vectors
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ov si bu s
Problem 3
A metal ball is projected downward at an angle of 25° with the
horizontal from the top of a building 300 m high. Its initial velocity
is 20 m/s.
(1) How long will it take before striking the ground?
(2) How far from the base of the building will it strike?
(3) With what velocity will it hit the ground?
(4) At what angle with the horizontal will it strike?
SKETCH
Step 1: Find First the vertical and horizontal initial velocity
components.
Solve her e
Step 2. Find the vertical velocity component (vfy).
Solve here
Transcribed Image Text:ov si bu s Problem 3 A metal ball is projected downward at an angle of 25° with the horizontal from the top of a building 300 m high. Its initial velocity is 20 m/s. (1) How long will it take before striking the ground? (2) How far from the base of the building will it strike? (3) With what velocity will it hit the ground? (4) At what angle with the horizontal will it strike? SKETCH Step 1: Find First the vertical and horizontal initial velocity components. Solve her e Step 2. Find the vertical velocity component (vfy). Solve here
Step 3. Find the time before striking the ground.
Solve here
o id nogu slym al o o
Step 4. Find the horizontal distance
Solve here
Step 5. Use the Pythagorean Theorem to resolve the velocity
downward.
Solve here
Step 6. Its angle upon hitting the ground
Solve here
dvl
Step 7. The initial horizontal velocity component (vix) is equal to
final horizontal velocity component (vfx).
Solve here
द
Transcribed Image Text:Step 3. Find the time before striking the ground. Solve here o id nogu slym al o o Step 4. Find the horizontal distance Solve here Step 5. Use the Pythagorean Theorem to resolve the velocity downward. Solve here Step 6. Its angle upon hitting the ground Solve here dvl Step 7. The initial horizontal velocity component (vix) is equal to final horizontal velocity component (vfx). Solve here द
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