Question

Given that the acceleration vector is a(t)=〈−1cos(t),−1sin(t),−2t〉 the initial velocity is v(0)=<1,0,1> and the initial position...

Given that the acceleration vector is a(t)=〈−1cos(t),−1sin(t),−2t〉
the initial velocity is v(0)=<1,0,1>
and the initial position vector is r(0)=<1,1,1>

compute:

a. The velocity vector

b. The position vector

Homework Answers

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
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.
If the acceleration of a particle is given by a(t)=2t-1 and the velocity and position at...
If the acceleration of a particle is given by a(t)=2t-1 and the velocity and position at time t=0 are v(0)=0 and S(0)=2. 1. Find a formula for the velocity v(t) at time t. 2. Find a formula for the position S(t) at time t. 3. Find the total distance traveled by the particle on the interval [0,3].
Find the position vector of a particle that has acceleration 2i+4tj+3t^2k, initial velocity v(0)=j+k and initial...
Find the position vector of a particle that has acceleration 2i+4tj+3t^2k, initial velocity v(0)=j+k and initial position r(0)=j+k
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.
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.
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)=
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
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
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT