MATH 222 Midterm: MATH 222 KSU Test 1s99

• 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 = t , y = t , z = t2 . An object is moving in the plane in such a way that its acceleration vector as a function of time t is ~a = (cos t)~i + ~j . Suppose at time t = 0 , the velocity vector is ~v(0) = ~j and the position vector is ~r(0) = ~i + ~j . Find the velocity vector and the position vector as functions of t and then give the parametric equations for the motion. An object is moving along a curve in 3-space at a constant speed of. Suppose the curve is not a straight line and the curvature as a function of time is (t) = Note: this is just like two of the practice problems.