MATH 222 Midterm: MATH 222 KSU Test 2s97

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

Document Summary

To receive credit you must show your work. (20) 1. An object is moving in 3-space according to the parametric equations x = cos t , y = sin t and z = 4t2 . Find as functions of time t: unit tangent vector ~t , tangential component of acceleration at . 2 seconds nd: curvature , normal component of acceleration an . Suppose you know that at t = 2 seconds the position vector is ~r(2) = ~i + 2~j , the velocity vector is. ~v(2) = 2~i ~j and the acceleration vector is ~a(2) = 3~i + 4~j . Using this information only, answer the following questions. Do not attempt to nd ~r , ~v and ~a as functions of t . An object is moving in the plane along the curve y = 2 x2 from left to right.