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(c) the horizontal. The stone moves in a vertical plane under gravity where the acceleration due to gravity is 10 ms. At time t seconds, the position vector A stone is projected from a point O with speed V ms at an angle 0 above of the stone relative to O is r(1)=(151)1+(201-512). (i) Find the Cartesian equation of the path of the stone. (ii) Find the speed of projection V ms of the stone. (iii) Find the time taken for the stone to reach its maximum height and the maximum height reached.

(c) the horizontal. The stone moves in a vertical plane under gravity where the acceleration due to gravity is 10 ms. At time t seconds, the position vector A stone is projected from a point O with speed V ms at an angle 0 above of the stone relative to O is r(1)=(151)1+(201-512). (i) Find the Cartesian equation of the path of the stone. (ii) Find the speed of projection V ms of the stone. (iii) Find the time taken for the stone to reach its maximum height and the maximum height reached.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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A stone is projected from a point O with speed V ms at an angle a above the horizontal. The stone moves in a vertical plane under gravity where the acceleration due to gravity is 10 ms. At time t seconds, the position vector (c) of the stone relative to O is r(1)=(151)1+(201-51). (i) Find the Cartesian equation of the path of the stone. (ii) Find the speed of projection V ms of the stone. (iii) Find the time taken for the stone to reach its maximum height and the maximum height reached.
Transcribed Image Text:A stone is projected from a point O with speed V ms at an angle a above the horizontal. The stone moves in a vertical plane under gravity where the acceleration due to gravity is 10 ms. At time t seconds, the position vector (c) of the stone relative to O is r(1)=(151)1+(201-51). (i) Find the Cartesian equation of the path of the stone. (ii) Find the speed of projection V ms of the stone. (iii) Find the time taken for the stone to reach its maximum height and the maximum height reached.
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