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.
The velocity in a parametric equation is calculated using the derivative of the position function, which is found by taking the derivative of each component of the equation with respect to time.
Velocity and speed are often used interchangeably, but they are actually two different quantities. Velocity is a vector quantity that includes both the magnitude (speed) and direction of motion, while speed is just the magnitude of the motion.
Yes, velocity can be negative in a parametric equation. A negative velocity indicates motion in the opposite direction of the chosen positive direction, while a positive velocity indicates motion in the chosen positive direction.
The velocity graph in a parametric equation shows the rate of change of the position function over time. The slope of the velocity graph at any point represents the instantaneous velocity at that time, and the area under the velocity graph represents the displacement of the object.
Yes, the velocity in a parametric equation can change over time. This can occur if the acceleration, which is the rate of change of velocity, is not constant. In this case, the velocity would change as the acceleration changes.