Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 10, Problem 43SP
To determine
To find: The velocity V, the speed
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Part 1.Given that the acceleration vector is a(t)=(−16cos(−4t))i+(−16sin(−4t))j+(3t)k the initial velocity is v(0)=i+k, and the initial position vector is r(0)=i+j+k, compute:
A. The position vector r(t)
B. The velocity vector v(t)
Part2.Find the arclength of the curve r(t)=⟨72–√t,e7t,e−7t⟩r(t)=⟨72t,e7t,e−7t⟩, 0≤t≤1
At time t = 0, a particle is located at the point (5,9,4). It travels in a straight line to the point (2,1,3), has speed 5 at (5,9,4) and constant acceleration - 3i-8j - k. Find an equation for the position
vector r(t) of the particle at time t.
The equation for the position vector r(t) of the particle at time t is r(t) =
(Type exact answers, using radicals as needed.)
i+
j+ k.
Chapter 10 Solutions
Calculus
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