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### ex091sl

Course: MATH 273, Fall 2009
School: Midwestern State...
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273 MATH Test 1 (Spring 2009) Solution Key 1. (20 pts.) A particle moves with position vector r(t) =&lt; 4t 2 , sin(3t), cos(3t) &gt;. (a) compute the velocity and acceleration for the particle at time t; Answer: r (t) =&lt; 6t1/2 , 3 cos(3t), 3 sin(3t) &gt;, r (t) =&lt; 3t1/2 , 9 sin(3t), 9 cos(3t) &gt;. (b) compute the arc length of the curve r = r(t) from t = 0 to t = 2; Answer: need...

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