A particle moving along a curve C in the xy-plane is at position (x(t), y(t)) for 0 ≤ t ≤ 7, where 2 te-t²+1 dy dt dx dt At time t = 0 the particle is at position (5, 6). (Round your answers to three decimal places.) (a) Find the speed of the particle at time t = 1. 27.731 (b) Find the length of the path. 154.610 (c) Find the position of the particle at time t = = 2. 3.398, 61.228 (d) There is a point on the path of the particle for which the tangent line to the curve is vertical. Find the acceleration vector at this point.
A particle moving along a curve C in the xy-plane is at position (x(t), y(t)) for 0 ≤ t ≤ 7, where 2 te-t²+1 dy dt dx dt At time t = 0 the particle is at position (5, 6). (Round your answers to three decimal places.) (a) Find the speed of the particle at time t = 1. 27.731 (b) Find the length of the path. 154.610 (c) Find the position of the particle at time t = = 2. 3.398, 61.228 (d) There is a point on the path of the particle for which the tangent line to the curve is vertical. Find the acceleration vector at this point.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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