SOLUTION: The x- and y-coordinates of moving particle are given by the parametric equation x = 5t� + t and y = 2-8t. Find the magnitude of velocity at t = 3 seconds. The distance is

Question 1114631: The x- and y-coordinates of moving particle are given by the parametric equation
x = 5t� + t and y = 2-8t.
Find the magnitude of velocity at t = 3 seconds. The distance is measured in meters.
* curvilinear motion
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

When ,

So,

Work that out for the answer.

Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.

Calculate x- and y-components of the velocity vector = and = at t= 3 seconds. Then the magnitude of velocity is |V| = .

RELATED QUESTIONS
The x- and y-coordinates of moving particle are given by the parametric equation x =... (answered by Fombitz)
The x- and y-coordinates of a moving particle are given by two parametric equations. x = (answered by Fombitz)
The position of a particle is given as s(t) = 2/5t^5 −2t^4 + 2t^3 where t is in hours... (answered by Boreal)
A particle is moving in the positive direction, away from the origin along the graph of y (answered by ikleyn)
A particle moves according to the parametric equations: y=2t^2 and x=t^3 where x and... (answered by ikleyn)
Find the rectangular equation of the curve given by the parametric equations below.... (answered by ikleyn)
Find the rectangular equation of the curve given by the parametric equation below. x (answered by ikleyn)
Find the rectangular equation of the curve whose parametric equations are x = -2 cos(t)... (answered by ikleyn)
Find an equation in x and y for the curve given by the parametric equation x=e^-t, y=-2t, (answered by nilan)