Graphing Calculator Question (approx 15 minutes) For 1 2 0, a particle moving in the xy-plane has the position vector (x(1), ym) at time 1, where dx and = cos(r³). At time 1 = 2, the position of the particle is (5, 7). dt (a) Find the acceleration vector of the particle at time 1 = 2. (b) Find the total distance traveled by the partice over the time interval 1.8 S152 (e) Find the x-coordinate of the position of the particle at time t = 1.
Graphing Calculator Question (approx 15 minutes) For 1 2 0, a particle moving in the xy-plane has the position vector (x(1), ym) at time 1, where dx and = cos(r³). At time 1 = 2, the position of the particle is (5, 7). dt (a) Find the acceleration vector of the particle at time 1 = 2. (b) Find the total distance traveled by the partice over the time interval 1.8 S152 (e) Find the x-coordinate of the position of the particle at time t = 1.
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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Transcribed Image Text:Graphing Calculator Question (approx 15 minutes)
For 1 2 0, a particle moving in the xy-plane has the position vector (x(), y) at time 1, where
dx
=-l+
dt
- = cos(r?). At time 1 = 2, the position of the particle is (5, 7).
sin
and
(a) Find the acceleration vector of the particle at time 1 = 2.
(b) Find the total distance traveled by the particle over the time interval 1.8 5152.
(c) Find the x-coordinate of the position of the particle at time t = 1.
(d) At time i -
the line tangent to the path of the particle is horizontal. Find the particle's speed at time
. Determine whether the particle is moving to the left or to the right at that time. Give a reason
for your answer.
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