blueexam2.07f

blueexam2.07f - blue MATH 32A Exam 2 LAST NAME FIRST NAME...

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blue MATH 32A Exam 2 November 29, 2007 LAST NAME FIRST NAME ID NO. Your TA: To receive credit, you must write your answer in the space provided . DO NOT WRITE BELOW THIS LINE 1 (25 pts) 5 (25 pts) 2 (25 pts) 6 (25 pts) 3 (25 pts) 7 (25 pts) 4 (25 pts) 8 (25 pts) TOTAL
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2 PROBLEM 1 (25 Points) A miniature rocket leaves the origin at time t = 0 with initial velocity (units are meters and seconds) v 0 = a 40 , 40 A m/s 2 x y The rocket’s acceleration vector a ( t ) has a horizontal com- ponent a 0 , 8 A supplied by the rocket engines and a verti- cal component due to gravity of magnitude g m/ s 2 in the downward direction. Use the approximate value g = 10. (A) Find the rocket’s position r ( t ) at time t . Answer : (B) How far from the origin does the rocket land? Answer :
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3 PROBLEM 2 (25 Points) Calculate the curvature of r ( t ) = a t, t 1 , t 2 A at t = 1. Answer :
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4 PROBLEM 3 (25 Points) A particle moves along the path described by r ( t ) = a 1 2 t 2 , 1 3 t 3 A The acceleration vector
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blueexam2.07f - blue MATH 32A Exam 2 LAST NAME FIRST NAME...

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