Problem 1: A rocket moves downwards with constant speed of 800 m/s along a parabolic path. The equation of the path is y

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Problem 1 A Rocket Moves Downwards With Constant Speed Of 800 M S Along A Parabolic Path The Equation Of The Path Is Y 1 (155.18 KiB) Viewed 41 times

Problem 1: A rocket moves downwards with constant speed of 800 m/s along a parabolic path. The equation of the path is y=600−121x2​. When the rocket is at a point P, the angle θ measured counterclockwise from the X-axis to this point on the path is 60∘. Find: (a) The X and Y coordinates of the point P. (b) Plot the path to scale (use MATLAB to do this). Draw the Normal and Tangential unit vectors (ut​ and un​) at the point P. What is the angle between the Tangential unit vector ut​ and the positive direction of the X-axis? (c) The ut​ and un​ components of the velocity vector. (d) The ut​ and un​ components of the acceleration vector. (e) The ^ and ^​ components of the velocity vector. (f) The ^ and ^​ components of the acceleration vector. (g) On the same plot from (b), draw the Radial and Transverse unit vectors (ur​ and uθ​) at point P. What is the angle between the Transverse unit vector uθ​ and the positive direction of the X-axis? (h) The ur​ and uθ​ components of the velocity vector. (i) The ur​ and uθ​ components of the acceleration vector. Hint: The given angle of 60∘ is not the angle of the tangent to the curve at point P.