Unformatted text preview: paths to approach the limit point. (4) (10 points) Suppose a bullet is ﬁred vertically with speed 100 ms1 starting at the point (0 , , 0) at t = 0 1. Write down the equation for the displacement vector. 2. After how long does it return to its starting point? Assume that the acceleration due to gravity g = 10 ms2 . (5) (10 points) Suppose that an object has the following displacement vector→ r ( t ) = ³ ln t, ln t 2 , ln t 3 ´ for t > . 5. How far along the space curve does the object travel between times t = 1 and t = 20? What type of space curve is this? (6) (10 points) Sketch a series of level curves of the function z = 2 x 2 + y 1...
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 Fall '11
 Hani
 Calculus, Topology, Dot Product, displacement vector

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