science
posted by biniya .
position of a particle in frame s is given by r=(6t^24t)i3t^3j+3k.in another frame s',its position of the same particle is given by r'=(6t^2+2t)i(3t^3+8t)j+3k.what is the magnitude of relative velocity of s' with respect to s if r and r'are measured in metre and t in second.

I do not understand what you mean by a "frame". If is is "the same particle" in both "frames", why is the time dependence of the position vector different?
If you are talking about two different particles following different trajectories, then the problem makes sense. Just take the time derivative of the r'  r vector. 
position of a particle in frame s is given by r=(6t^24t)i3t^3j+3k.in another frame s',its position of the same particle is given by r'=(6t^2+2t)i(3t^3+8t)j+3k.what is the magnitude of relative velocity of s' with respect to s if r and r'are measured in metre and t in second.

I know the question, which you have merely repeated. You have not responded to my comments and suggestions
Respond to this Question
Similar Questions

science
the velocity of a particle is given by v=[16t^2i+4t^3j +(5t+2)k]m/s, where t is in seconds. If the particle is at the origin when t=0, determine the magnitude of the particle's acceleration when t=2s. What is the x,y,z coordinate position … 
calculus
a particle moves along a number line measured in cm so that its position at time t sec is given by s=72/(t+2) +k, k is a constant and t>=0 seconds. (a) Find the instantaneous velocity of the particle at t=4 seconds (b) Find the … 
calculus
5. A particle moves along the y – axis with velocity given by v(t)=tsine(t^2) for t>=0 . a. In which direction (up or down) is the particle moving at time t = 1.5? 
Physics
If a particle moves with velocity V PA = (2.0 m/s) + (4.0 m/s) relative to frame A, what is the velocity V AP of the frame relative to the particle? 
Physics
A particle is moving along a straight line and its position is given by the relation x=( t36t215t+40)mm. Find: (a). The time at which velocity is zero. (b). Position & displacement of the particle at that point. (c). Acceleration … 
Physics
A permanent magnet creates a homogenous magnetic field B~ inside a rectangular region. The magnet is moving with a velocity ~v ⊥ B~ . A particle at rest with mass m and charge Q is on the path of the magnet. Assume that the magnet … 
physics
A particle is moving along a straight line and its position is given by the relation x=( t36t215t+40)mm. Find: (a). The time at which velocity is zero. (b). Position & displacement of the particle at that point. (c). Acceleration … 
physics
A particle is moving along a straight line and its position is given by the relation x=(t3 6t2 15t+40) m FIND a) The time at which velocity is Zero, b) Position and displacement of the particle at that point. c) Acceleration for … 
physics
A particle (mass = 5.0 g, charge = 40 mC) moves in a region of space where the electric field is uniform and is given by Ex = 5.5 N/C, Ey = Ez = 0. If the position and velocity of the particle at t = 0 are given by x = y = z = 0 and … 
Maths, dynamics
A particle of mass 45 kg moves in a straight line such that the force (in Newtons) acting on it at time t (in seconds) is given by 225t^490 t^2225. If at time t = 0 its velocity, v , is given by v ( 0 ) = 2, and its position x (in …