1
answer
0
watching
84
views
13 Nov 2019
Let r(t)=x(t)i+y(t)j be the equation of a curve in the plane, where the curve is given by: x=25cost and y=25sint
Assume that the velocity vector of the moving point is always perpendicular to the vector from the origin to the moving point.
(a). Describe the path of motion
(b). Show that if a particle is moving along this curve, then it is always accelerating toward the center of the circle.
(c). Compute the tangent vector and dot it with the result you got in part (b). Explain the result you got. Does this confirm your conjecture in part (a)?
Let r(t)=x(t)i+y(t)j be the equation of a curve in the plane, where the curve is given by: x=25cost and y=25sint
Assume that the velocity vector of the moving point is always perpendicular to the vector from the origin to the moving point.
(a). Describe the path of motion
(b). Show that if a particle is moving along this curve, then it is always accelerating toward the center of the circle.
(c). Compute the tangent vector and dot it with the result you got in part (b). Explain the result you got. Does this confirm your conjecture in part (a)?
Jarrod RobelLv2
20 Apr 2019
