A rocket is fired at an angle from the top of a tower of

Chapter 3, Problem 3.39

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A rocket is fired at an angle from the top of a tower of height h0 = 50.0 m. Because of the design of the engines, its position coordinates are of the form x1t2 = A + Bt2 and y1t2 = C + Dt3 , where A, B, C, and D are constants. The acceleration of the rocket 1.00 s after firing is a S = 14.00nd + 3.00ne2 m>s 2 . Take the origin of coordinates to be at the base of the tower. (a) Find the constants A, B, C, and D, including their SI units. (b) At the instant after the rocket is fired, what are its acceleration vector and its velocity? (c) What are the x- and y-components of the rockets velocity 10.0 s after it is fired, and how fast is it moving? (d) What is the position vector of the rocket 10.0 s after it is fired?

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