A stone is projected from a point O with speed V ms at an angle a abovethe horizontal. The stone moves in a vertical plane under gravity where theacceleration 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 maximumheight reached.

Answered: Image /qna-images/answer/3c30f988-f0a3-4296-b128-b46925005531.jpg

Answered: (c) the horizontal. The stone moves in…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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/2x2+1 a) Find the asymptote of the following f(x) =- b) Let an insect is moving along the graph of the parametric equation which is given by x = 2cose and y = 3sine , 0 € [0,27] in the given domain. i. Find the Cartesian equation from these parametric equation ii. Since the position of the sparrow is depends on the position of an insect and sparrow can be found at the position xsparrow = 2xinsect and ysparrow = 5ynsect- Find the position of the sparrow as a function of 6. c) Find the value of c, which satisfies all the conditions of mean value theorem f(x) = x5 – 3x +2 [-1,2] d) By using limit definition, find f'(x), where f(x) = cosxsinx 3x-5
Falling probe A remote sensing probe falls vertically with a terminal velocity of 60 m/s when it encounters a horizontal crosswind blowing north at 4 m/s and an updraft blowing vertically at 10 m/s. Find the magnitude and direction of the resulting velocity relative to the ground.
The trajectory of a projectile launched from the origin at an initial speed of u at an angle of 0 degrees to the horizontal is given by the parametric equations x = v cos(0)t y=- 1 I 9t² where g is acceleration due to gravity, typically 32 feet per second per second or 9.8 meters per second per second. +vsin (0)t Find parametric equations for the trajectory of a golf ball with an initial speed of 80 feet per second at an angle of 60° to the horizontal. Enter either exact value coefficients (in radians!!!) or correct to at least three decimal places. Y 80 cos 60 7 ) 180 t sin (60 180) . How many seconds will the ball be -16² +80 sin 60- the air before it hits the ground? seconds How far will it travel horizontally in total? feet
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Find the graph and rectangular equation of the curve whose parametric equation is given. x=t+5, y = 4 t+5 3 for t# -5 ... The equivalent rectangular equation is y = (-∞,0)U(0,00). for x in CHILD

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