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The velocity of a particle moving in the plane has components dx = 12t – 312 and- dt dy = In(1 + (t – 4)*) dt At time t= 0, the position of the particle is (-13, 5). At time t = 2, the object is at point P with X-coordinate 3. Find the speed of the particle and its acceleration vector at t= 2. Find the y-coordinate of P. Write an equation for the tangent line to the curve at P.

The velocity of a particle moving in the plane has components dx = 12t – 312 and- dt dy = In(1 + (t – 4)*) dt At time t= 0, the position of the particle is (-13, 5). At time t = 2, the object is at point P with X-coordinate 3. Find the speed of the particle and its acceleration vector at t= 2. Find the y-coordinate of P. Write an equation for the tangent line to the curve at P.

Advanced Engineering Mathematics
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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The velocity of a particle moving in the plane has components dx = 12t – 312 and- dt dy = In(1 + (t – 4)*) dt At time t = 0, the position of the particle is (-13, 5). At time t= 2, the object is at point P with x-coordinate 3. Find the speed of the particle and its acceleration vector at t= 2. Find the y-coordinate of P. Write an equation for the tangent line to the curve at P.
Transcribed Image Text:The velocity of a particle moving in the plane has components dx = 12t – 312 and- dt dy = In(1 + (t – 4)*) dt At time t = 0, the position of the particle is (-13, 5). At time t= 2, the object is at point P with x-coordinate 3. Find the speed of the particle and its acceleration vector at t= 2. Find the y-coordinate of P. Write an equation for the tangent line to the curve at P.
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