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50m M The diagram above shows a projectile launched from 50 metres above a fixed origin O. The initial velocity is V ms¯' at a fixed angle 0 above the horizontal . M is the point where the projectile meets the horizontal and P is the highest point of the flight above the horizontal. Z is the point of projection with OZ = 50 metres. During the time of motion: Horizontal displacement x = 30-/3t Vertical displacement y = -5t² +30t + 50 [all displacements are in metres and time, t , is in seconds with t2 0] (i) Find correct to one decimal the time taken to reach M. (ii) What is the distance from O to M? [Give your answer to the nearest whole metre] (iii) When will the projectile reach P? (iv) How high is P above the horizontal?

50m M The diagram above shows a projectile launched from 50 metres above a fixed origin O. The initial velocity is V ms¯' at a fixed angle 0 above the horizontal . M is the point where the projectile meets the horizontal and P is the highest point of the flight above the horizontal. Z is the point of projection with OZ = 50 metres. During the time of motion: Horizontal displacement x = 30-/3t Vertical displacement y = -5t² +30t + 50 [all displacements are in metres and time, t , is in seconds with t2 0] (i) Find correct to one decimal the time taken to reach M. (ii) What is the distance from O to M? [Give your answer to the nearest whole metre] (iii) When will the projectile reach P? (iv) How high is P above the horizontal?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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y P 50m X M The diagram above shows a projectile launched from 50 metres above a fixed origin O. The initial velocity is V ms at a fixed angle 0 above the horizontal . M is the point where the projectile meets the horizontal and P is the highest point of the flight above the horizontal. Z is the point of projection with OZ = 50 metres. During the time of motion: Horizontal displacement x = 30/3t Vertical displacement y = -5t² +30t + 50 [all displacements are in metres and time, t , is in seconds with t2 0] (i) Find correct to one decimal the time taken to reach M. (ii) What is the distance from O to M? [Give your answer to the nearest whole metre] (iii) When will the projectile reach P? (iv) How high is P above the horizontal?
Transcribed Image Text:y P 50m X M The diagram above shows a projectile launched from 50 metres above a fixed origin O. The initial velocity is V ms at a fixed angle 0 above the horizontal . M is the point where the projectile meets the horizontal and P is the highest point of the flight above the horizontal. Z is the point of projection with OZ = 50 metres. During the time of motion: Horizontal displacement x = 30/3t Vertical displacement y = -5t² +30t + 50 [all displacements are in metres and time, t , is in seconds with t2 0] (i) Find correct to one decimal the time taken to reach M. (ii) What is the distance from O to M? [Give your answer to the nearest whole metre] (iii) When will the projectile reach P? (iv) How high is P above the horizontal?
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