# 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

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### 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