MATH 0180 Midterm: MATH 180 Brown Exam m180s2a

• School: Brown University
• Department: Mathematics
• Course: MATH 0180
• Professor: All

Document Summary

Math 180 solution to quiz #2a: cole. At time t = 1, determine (1) v = velocity, (2) a = acceleration, (3) t = unit tangent, (4) N = unit normal, (5) = curvature. r(t) = t, 2t, t2 . Solution: all calculations are done at t = 1. (1) v = 1, 2, 2t = 1, 2, 2 and |v| = 1 + 4 + 4 = 3. (2) a = 0, 0, 2 . 0 + 0 + 4 (4) use a = att + ann. Let w = ann = a att = 0, 0, 2 . Alternate calculation for . v a = 1, 2, 2 0, 0, 2 = 4 0, 0 2, 0 0 = 2 2, 1, 0 . Alternate calculation for n. we have b =