Finding velocity and position vectors
Not what you're looking for?
Given that the acceleration vector is a(t) = (-9cos(-3t)) i + (-9sin(-3t)) j + (-2t) k , the initial velocity is v(0) = i + k , and the initial position vector is r(0) = i+j+k , compute:
A. The velocity vector
B. The position vector
Purchase this Solution
Solution Summary
The problem is solved giving all necessary mathematical steps. It will enable you to do similar problems yourself.
Solution Preview
a(t) = (-9cos(-3t)) i + (-9sin(-3t)) j + (-2t) k
initial velocity is v(0) = i + k , and the initial position vector is r(0) = i+j+k
We know that acceleration = dV/dt, the Rate of change of velocity wrt Time
So V(t) = integral [a*dt] = integral[ (-9cos(-3t)) i + (-9sin(-3t)) j + (-2t) k]*dt
= -3Sin(3t) i - 3Cos(3t) j - t^2 k + C --------A
When t= 0, We get V(0) = -3Sin(0) ...
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability