A trebuchet located at (0, 0, 0) launches a projectile from level ground with initial velocity (1, 10, 25). A wind is blowing which applies a constant acceleration of 2 m/s² in the positive x-direction. A very tall castle wall which is located along the plane y = 20. How high is the projectile above the ground when it reaches the wall? Use -10 m/s² in the z-direction for acceleration due to gravity. A. The projectile hits the ground before it reaches the wall. B. The projectile is 20 m above the ground when it reaches the wall. C. The projectile is 24 m above the ground when it reaches the wall. D. The projectile is 30 m above the ground when it reaches the wall. E. The projectile is 125 m above the ground when it reaches the wall.
A trebuchet located at (0, 0, 0) launches a projectile from level ground with initial velocity (1, 10, 25). A wind is blowing which applies a constant acceleration of 2 m/s² in the positive x-direction. A very tall castle wall which is located along the plane y = 20. How high is the projectile above the ground when it reaches the wall? Use -10 m/s² in the z-direction for acceleration due to gravity. A. The projectile hits the ground before it reaches the wall. B. The projectile is 20 m above the ground when it reaches the wall. C. The projectile is 24 m above the ground when it reaches the wall. D. The projectile is 30 m above the ground when it reaches the wall. E. The projectile is 125 m above the ground when it reaches the wall.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:5. A trebuchet located at (0, 0, 0) launches a projectile from level ground with initial velocity
(1, 10, 25). A wind is blowing which applies a constant acceleration of 2 m/s² in the
positive x-direction. A very tall castle wall which is located along the plane y = 20. How
high is the projectile above the ground when it reaches the wall? Use -10 m/s² in the
z-direction for acceleration due to gravity.
A. The projectile hits the ground before it reaches the wall.
B. The projectile is 20 m above the ground when it reaches the wall.
C. The projectile is 24 m above the ground when it reaches the wall.
D. The projectile is 30 m above the ground when it reaches the wall.
E. The projectile is 125 m above the ground when it reaches the wall.
4
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