Problem 1 A cannon ball on the ground is fired at 35 with an initial velocity of 250 m/s. a. How long will it take to hit the ground? b. How far from the cannon ball will it hit the ground? c. Compute for maximum height to be reached by the cannon ball. Given: V. - 250 m/s 35 g- 9.8" Solution: a. The time of flight of the cannon ball 2v, sin 500m/s(sin 35°) 500m/s(0.57) _ 28Sm/s = 29.08s 9.8m/x 9.8m/s 9.8m/s b. The range of the cannon ball v, sin 0 (250m/s) 2 sin 35° 62500m2/s 2(0.57) 9.8m/s R 9.8m/ s 62.500m /s(0.9397) 58,730.79m /s? 9.8m/s 5,992.94m 9.8m/s c. The maximum height that the cannon ball reached v sin 0 (250m/s)²(sin 35")(sin35") 62.500m /s²(0.57) 2(9.8m/s) Утах 28 19.6m/s 62,500m² /s²(0.32899 20,561.87m /s- 1,049.08m 19.6m/s 19.6m/s This time, it's your turn to solve the next problem. Problem 2 An arrow is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal. 10 a. How long will it take to hit the ground? b. How far from the cannon ball will it hit the ground? c. Compute for maximum height to be reached by the cannon ball.

College Physics
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ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter3: Two-dimensional Kinematics
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Problem 1
A cannon ball on the ground is fired at 35 with an initial velocity of 250 m/s.
a. How long will it take to hit the ground?
b. How far from the cannon ball will it hit the ground?
c. Compute for maximum height to be reached by the cannon ball.
Given:
V. - 250 m/s
35
g- 9.8"
Solution:
a. The time of flight of the cannon ball
2v, sin 500m/s(sin 35°) 500m/s(0.57) _ 28Sm/s = 29.08s
9.8m/x
9.8m/s
9.8m/s
b. The range of the cannon ball
v, sin 0
(250m/s) 2 sin 35° 62500m2/s 2(0.57)
9.8m/s
R
9.8m/ s
62.500m /s(0.9397) 58,730.79m /s?
9.8m/s
5,992.94m
9.8m/s
c. The maximum height that the cannon ball reached
v sin 0 (250m/s)²(sin 35")(sin35") 62.500m /s²(0.57)
2(9.8m/s)
Утах
28
19.6m/s
62,500m² /s²(0.32899 20,561.87m /s- 1,049.08m
19.6m/s
19.6m/s
This time, it's your turn to solve the next problem.
Problem 2
An arrow is launched at a velocity of 20 m/s in a direction making an angle of 25°
upward with the horizontal.
10
a. How long will it take to hit the ground?
b. How far from the cannon ball will it hit the ground?
c. Compute for maximum height to be reached by the cannon ball.
Transcribed Image Text:Problem 1 A cannon ball on the ground is fired at 35 with an initial velocity of 250 m/s. a. How long will it take to hit the ground? b. How far from the cannon ball will it hit the ground? c. Compute for maximum height to be reached by the cannon ball. Given: V. - 250 m/s 35 g- 9.8" Solution: a. The time of flight of the cannon ball 2v, sin 500m/s(sin 35°) 500m/s(0.57) _ 28Sm/s = 29.08s 9.8m/x 9.8m/s 9.8m/s b. The range of the cannon ball v, sin 0 (250m/s) 2 sin 35° 62500m2/s 2(0.57) 9.8m/s R 9.8m/ s 62.500m /s(0.9397) 58,730.79m /s? 9.8m/s 5,992.94m 9.8m/s c. The maximum height that the cannon ball reached v sin 0 (250m/s)²(sin 35")(sin35") 62.500m /s²(0.57) 2(9.8m/s) Утах 28 19.6m/s 62,500m² /s²(0.32899 20,561.87m /s- 1,049.08m 19.6m/s 19.6m/s This time, it's your turn to solve the next problem. Problem 2 An arrow is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal. 10 a. How long will it take to hit the ground? b. How far from the cannon ball will it hit the ground? c. Compute for maximum height to be reached by the cannon ball.
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