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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 =

Question A projectile was fired from the origin ( mathrm{O} ) of the Cartesian coordinates on the edge of a cliff with an

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/s: 1- Calculate the firing angle a. 2-Prove that the parametric equations for the projectile motion are: x(t)=60t; y(t)=-_gt ---81 + +175t 2 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 18 a D X

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