Question

6. a) Use the given acceleration function and initial conditions to find the position at time...

6.

a) Use the given acceleration function and initial conditions to find the position at time t = 1.

a(t) = 6i + 10j + 8k, v(0) = 4k, r(0) = 0

b) Find the arc length for r(t) = 3 cos t i + 3 sin t j, [ 0 , 6 ]

Homework Answers

Answer #2

answered by: anonymous
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the velocity, acceleration, and speed of a particle with the given position function. (a) r(t)...
Find the velocity, acceleration, and speed of a particle with the given position function. (a) r(t) = e^t cos(t)i+e^t sin(t)j+ te^tk, t = 0 (b) r(t) = 〈t^5 ,sin(t)+ t ^ cos(t),cos(t)+ t^2 sin(t)〉, t = 1
Find the velocity and position vectors of a particle that has the given acceleration and the...
Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = 2 i + 6t j + 12t2 k, v(0) = i, r(0) = 3 j − 6 k
Find the velocity and position vectors of a particle that has the given acceleration and the...
Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = (6t + et) i + 12t2 j, v(0) = 3i, r(0) = 7 i − 3 j v(t)= r(t)=
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.
please ASAP!! Suppose that a particle has the following acceleration vector and initial velocity and position...
please ASAP!! Suppose that a particle has the following acceleration vector and initial velocity and position vectors. a(t)  =  5 i  +  9t k,    v(0)  =  3 i  −  j,    r(0)  =  j  +  6 k (a) Find the velocity of the particle at time t. (b) Find the position of the particle at time t.
a(t) = 2e^ −t + 4 cos(2t) − sin(2t). Find the initial acceleration at t =...
a(t) = 2e^ −t + 4 cos(2t) − sin(2t). Find the initial acceleration at t = 0. If time is measured in seconds and distance is measured in meters, what units is your answer in? Find the velocity v(t) of the object given an initial velocity of 2 meters per second. Find the position s(t) of the object given an initial position of 0 meters.
A moving particle starts at an initial position r(0) = <1, 0, 0> with initial velocity...
A moving particle starts at an initial position r(0) = <1, 0, 0> with initial velocity v(0) = i - j + k. Its acceleration is a(t) = 4t i + 4t j + k. Find its velocity, v(t), and position, r(t), at time t.
Given the following acceleration functions of an object moving along a line, find the position function...
Given the following acceleration functions of an object moving along a line, find the position function with the given initial velocity and position. a(t)=-32; v(0)=24, s(0)=0
Find the velocity and position vectors of a particle that has the given acceleration and the...
Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = 4t, et, e−t   v(0) = 0,0,−5  r(0) = 0,1, 4