Question
A particle traces the path vector r = (t^3, t+3, t^2 -4t) where t represents time; it flies off on a tangent when t=1 and then moves in a straight line with constant speed. Find its position when t=4.
Do I just plug the 4 into the t's in vector r?
Do I just plug the 4 into the t's in vector r?
Answers
bobpursley
IT seems to me that the vector r is only valid to time=1, after that the particle is on a "tangent" at constant speed.
So find the position and velocity of the particle at time=1, then the velocity is constant for the next three seconds, find the new position. That is what I read into the problem.
So find the position and velocity of the particle at time=1, then the velocity is constant for the next three seconds, find the new position. That is what I read into the problem.
Related Questions
the path of a particle in the xy-plane is vector r = (cos2t, sint) for t for all [-pi/2, pi] where t...
Suppose that a particle with mass m moving on a plane having position vector
r(t)=a cos(t/4)i + a s...
The position vector of a particle moving in the x-y plane is vector components 2 times the cosine of...