(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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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