Question

Consider the parameterized motion given by r(t)=3t^2i-2t^2j+(6-t^3)k. Where is the object at time t=1? What is...

Consider the parameterized motion given by r(t)=3t^2i-2t^2j+(6-t^3)k.

Where is the object at time t=1? What is the velocity at t=1? What is the speed at t=1?

How far does the object move from 0≤t≤1? Round your answer to 2 decimal places.

* r, i, j, and k should all have vector arrows above them

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
6. Given vector function r(t) = t2 − 2t, 1 + 3t, 1 3 t 3...
6. Given vector function r(t) = t2 − 2t, 1 + 3t, 1 3 t 3 + 1 2 t 2 i (a) Find r 0 (t) (b) Find the unit tangent vector to the space curve of r(t) at t = 3. (c) Find the vector equation of the tangent line to the curve at t = 3
Given that the acceleration vector is a(t)=(-9 cos(3t))i+(-9 sin(3t))j+(-5t)k, the initial velocity is v(0)=i+k, and the...
Given that the acceleration vector is a(t)=(-9 cos(3t))i+(-9 sin(3t))j+(-5t)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 v(t) B. The position vector r(t)
Given that the acceleration vector is a ( t ) = (−9 cos( 3t ) )...
Given that the acceleration vector is a ( t ) = (−9 cos( 3t ) ) i + ( −9 sin( 3t ) ) j + ( −5 t ) k, the initial velocity is v ( 0 ) = i + k, and the initial position vector is r ( 0 ) = i +j + k, compute: the velocity vector and position vector.
Determine the length of the curve r(t) = 4i + 2t^2 j + 1/3t^3 k from...
Determine the length of the curve r(t) = 4i + 2t^2 j + 1/3t^3 k from the point (4, 0, 0) to the point (4, 18, 9)
let r(t)=<cos(2t),sin(2t),3> describe the shape of the path of motion of the object. how far has...
let r(t)=<cos(2t),sin(2t),3> describe the shape of the path of motion of the object. how far has the object travelled between time T= 0 and time T = 2pi?
The position (in meters) of an object moving in a straight line s(t)=√ 3t+1 −2t^2+1 where...
The position (in meters) of an object moving in a straight line s(t)=√ 3t+1 −2t^2+1 where t is measured in seconds. (a) Find the average velocity on [0,1]. (b) Find the instantaneous velocity at t=1. (c) Find the acceleration at t=1.
Write the curve given by r(t)=((3/2)t)i+(t^3/2)j as a function r(s) parameterized by the arc length s...
Write the curve given by r(t)=((3/2)t)i+(t^3/2)j as a function r(s) parameterized by the arc length s from the point where t=0. Write your answer using standard unit vector notation.
1- if an equation of motion given by ( X=2t , Y=2t+4 ) prove that the...
1- if an equation of motion given by ( X=2t , Y=2t+4 ) prove that the motion is Straight. 2- if the position of object given by ( X=3t-4t2+t3 ) a- give the position at ( t=1),( t=2 ),( t=3 ),( t=4 ) b- find the displacement between ( t1 = 0 and t2 = 4 ) c- find the average velocity between ( t1 = 2 and t2 = 4 )
The position of an object at time t is given by: r(t)=e^−t i + e^t j...
The position of an object at time t is given by: r(t)=e^−t i + e^t j − t√2 k, 0≤ t<∞. (a) Determine the velocity v and the speed of the object at time t. (b) Determine the acceleration of the object at time t. (c) Find the distance that the object travels during the time interval 0≤ t<ln3. Answers: (a) = velocity: v =−e^−t i + e^t j − √2 k; speed: ||v||= e^t + e^−t, (b) = acceleration:...
Let r(t) = 1/2t ,4t^1/2 ,2t be a position function for some object. (a) (2 pts)...
Let r(t) = 1/2t ,4t^1/2 ,2t be a position function for some object. (a) (2 pts) Find the position of the object at t = 1. (b) (6 pts) Find the velocity of the object at t = 1. (c) (6 pts) Find the acceleration of the object at t = 1. (d) (6 pts) Find the speed of the object at t = 1. (e) (15 pts) Find the curvature K of the graph C determined by r(t) when...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT