Question

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  +  9tk,    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.

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
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)=
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 particle has a constant acceleration of vector a = (5.9 m/s2)i + (3.8 m/s2)j ....
A particle has a constant acceleration of vector a = (5.9 m/s2)i + (3.8 m/s2)j . At time t = 0, t... A particle has a constant acceleration of vector a = (5.9 m/s2)i + (3.8 m/s2)j . At time t = 0, the velocity is zero and the position vector is vector r0 = (11.1 m)i. (a) Find the velocity and position vectors as functions of time t. V= m/s r= m (b) Find the equation of the particle's...
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.
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
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.
A particle starts at the origin with initial velocity ⃗v(0) = ⃗i − ⃗j + ⃗k....
A particle starts at the origin with initial velocity ⃗v(0) = ⃗i − ⃗j + ⃗k. Its acceleration is ⃗a(t) = 4t⃗i + 3t⃗j − ⃗k. Find its position at t = 3.
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
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT