1AMS 361: Applied Calculus IV by Prof Y. Deng Homework 5 Assignment Date: Wednesday (03/11/2009) Collection Date: Wednesday (03/18/2009)Grade: Each problem is worth 10 points. Problem 5.1 (Prob. 27, P. 107, Modified)Suppose that a projectile is fired straight upward from the surface of the earth with initial velocity02/vGMR<. Then its height y(t)above the surface satisfies the initial value problem 222()dyGMdtyR=−+, (0)0y=, 0(0)yv′=. Compute the maximum altitude the projectile reaches and the time (from launch) for the projectile to reach the maximum altitude. Problem 5.2 (Prof Deng’s fun problem, modified)On a straight stretch of road of length ܮthere were two stop signs at the two ends. Assume you follow traffic laws: stop at these signs. Your poor car can accelerate at a constant ܽଵand decelerate at another constant
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