The height and speed of a projectile launched with a speed of vo at an angle A to the horizontal are given by: ht=votsin A-0.5gt² v(t)=√v-2v₁>sin (A)+gt² where g is the acceleration due to gravity. The projectile will strike the ground when h(t) = 0, which gives the time to hit. tit=2sin (A). Suppose that A = 30°, vo = 40 m/s, g = 9.81 m/s². Use
The height and speed of a projectile launched with a speed of vo at an angle A to the horizontal are given by: ht=votsin A-0.5gt² v(t)=√v-2v₁>sin (A)+gt² where g is the acceleration due to gravity. The projectile will strike the ground when h(t) = 0, which gives the time to hit. tit=2sin (A). Suppose that A = 30°, vo = 40 m/s, g = 9.81 m/s². Use
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter23: Simulation With The Excel Add-in @risk
Section23.4: Reliability And Warranty Modeling
Problem 3P
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![2. The height and speed of a projectile launched with a speed of vo at an angle A to the
horizontal are given by:
ht=votsin A-0.5 gt²
v(t)=√√√²-2v₁>sin(A)+gt²
where g is the acceleration due to gravity. The projectile will strike the ground when h(t) = 0, which
Vo
gives the time to hit. thit = 2. sin (A). Suppose that A = 30°, Vo = 40 m/s, g = 9.81 m/s². Use
9
relational and logical operators to find the times when
The height is no less than 15 m.
b. The height is no less than 15 m and the speed is simultaneously greater than 36 m/s.
C. The height is less than 5 m or the speed is greater than 35 m/s.
a.
Verify your answers by plotting h(t) and v(t) versus t on the same graph.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9ca0fe0-8326-4567-9bb6-5d60d0a741b4%2Fef19ab30-ee63-4239-a9db-b02a05c8aed4%2F9ba4gv8_processed.png&w=3840&q=75)
Transcribed Image Text:2. The height and speed of a projectile launched with a speed of vo at an angle A to the
horizontal are given by:
ht=votsin A-0.5 gt²
v(t)=√√√²-2v₁>sin(A)+gt²
where g is the acceleration due to gravity. The projectile will strike the ground when h(t) = 0, which
Vo
gives the time to hit. thit = 2. sin (A). Suppose that A = 30°, Vo = 40 m/s, g = 9.81 m/s². Use
9
relational and logical operators to find the times when
The height is no less than 15 m.
b. The height is no less than 15 m and the speed is simultaneously greater than 36 m/s.
C. The height is less than 5 m or the speed is greater than 35 m/s.
a.
Verify your answers by plotting h(t) and v(t) versus t on the same graph.
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