The discussion revolves around determining velocity from a position vector in a parametric context, specifically focusing on the relationship between position and velocity through derivatives and graphical representation.
Participants are actively engaging with the problem, exploring graphical methods and discussing the implications of slopes in relation to velocity. Some guidance has been provided regarding the interpretation of graphs and the conditions under which the particle is stationary.
There is mention of a specific point in time where the tangent to the graph is parallel to the y-axis, as well as a hint regarding the condition for the particle being at rest, indicating the need for further exploration of these concepts.
e(ho0n3 said:How about graphing the table of values to start?
You need 2 because you have 2 position components: x vs t and y vs t.-EquinoX- said:why two graph, I don't know
I feel too lazy to verify that at moment. Just double-check the slope from each graph.-EquinoX- said:ok, I got v = -4/5i + 5/5j, is this correct?
This is where the x vs y graph comes into play. When would the particle by moving parallel to the y-axis in this graph? Hint: tangents.Any time when the particle is moving parallel to the y-axis.
e(ho0n3 said:I feel too lazy to verify that at moment. Just double-check the slope from each graph.
This is where the x vs y graph comes into play. When would the particle by moving parallel to the y-axis in this graph? Hint: tangents.