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?
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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