MATH 222 Midterm: MATH 222 KSU Test 2s98

• School: Kansas State University
• Department: Mathematics
• Course: MATH 222
• Professor: All

Document Summary

To receive credit you must show your work. (15) 1. An object is moving in 3-space according to the parametric equations x = t2 , y = sin t , z = cos t . Find at , an and the curvature as functions of the time t . An object is moving in the plane along the curve y = moving from left to right at a constant speed of 4 ft/sec. It is: find at and an when the object is at the point (cid:18)x, 2 x2(cid:19) : find the velocity vector and the acceleration vector when the object is at the point (cid:18)1, At a certain instant, say t = 2 seconds, you know that ~r(2) = ~i 2~j , ~v(2) = 2~i + ~j and ~a(2) = ~i + ~j for the position vector, velocity vector and acceleration vector respectively. Do not attempt to nd ~r , ~v and ~a as functions of time.