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Question A projectile was fired from the origin O of the Cartesian coordinates on the edge of a cliff with an initial velocity = 60 i+ 175 j The projectile rises first and then falls into the sea at point P, as shown in the following sketch. If you know that the projectile has a time of flight of 40 seconds, that air resistance is neglected, and that the gravitational acceleration is g = 10 m/s²: 1- Calculate the firing angle a. 2- Prove that the parametric equations for the projectile motion are: 12/281² +1751 gt² x(t)=60t; y(t): y(t)=- 3- Deduce: a- The distance D between the falling point P and the cliff. b- The height H of the cliff from the surface of the sea. H a D

Question A projectile was fired from the origin O of the Cartesian coordinates on the edge of a cliff with an initial velocity = 60 i+ 175 j The projectile rises first and then falls into the sea at point P, as shown in the following sketch. If you know that the projectile has a time of flight of 40 seconds, that air resistance is neglected, and that the gravitational acceleration is g = 10 m/s²: 1- Calculate the firing angle a. 2- Prove that the parametric equations for the projectile motion are: 12/281² +1751 gt² x(t)=60t; y(t): y(t)=- 3- Deduce: a- The distance D between the falling point P and the cliff. b- The height H of the cliff from the surface of the sea. H a D

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Question A projectile was fired from the origin O of the Cartesian coordinates on the edge of a cliff with an initial velocity Vo = 60 i+ 175 j The projectile rises first and then falls into the sea at point P, as shown in the following sketch. If you know that the projectile has a time of flight of 40 seconds, that air resistance is neglected, and that the gravitational acceleration is g = 10 m/s²: 1- Calculate the firing angle a. 2- Prove that the parametric equations for the projectile motion are: 1 y(t) =- - gt² +175t x(t)=60t; y(t): 3- Deduce: a- The distance D between the falling point P and the cliff. b- The height H of the cliff from the surface of the sea. H a D→ X
Transcribed Image Text:Question A projectile was fired from the origin O of the Cartesian coordinates on the edge of a cliff with an initial velocity Vo = 60 i+ 175 j The projectile rises first and then falls into the sea at point P, as shown in the following sketch. If you know that the projectile has a time of flight of 40 seconds, that air resistance is neglected, and that the gravitational acceleration is g = 10 m/s²: 1- Calculate the firing angle a. 2- Prove that the parametric equations for the projectile motion are: 1 y(t) =- - gt² +175t x(t)=60t; y(t): 3- Deduce: a- The distance D between the falling point P and the cliff. b- The height H of the cliff from the surface of the sea. H a D→ X
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