How do you find the slope of a speed time graph?
Using the Slope Equation
- Pick two points on the line and determine their coordinates.
- Determine the difference in y-coordinates for these two points (rise).
- Determine the difference in x-coordinates for these two points (run).
- Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
How do you tell if speed is increasing or decreasing on a graph?
Speed is increasing when the velocity and acceleration have the same sign. Speed is decreasing when the velocity and acceleration have different signs.
How do you know when a particle is moving left?
The y-values of v(t) represent the velocity (how fast its moving). The particle is considered moving to the right when the velocity function is positive (above the x-axis). The particle is considered moving to the left when the velocity function is negative (below the x-axis).
How do you know when a function changes direction?
When velocity and acceleration have opposite signs, the speed is decreasing. When velocity = 0 and acceleration does not, the particle is momentarily stopped and changing direction.
Is the particle speeding up or slowing down?
If velocity and acceleration have the same sign, the particle is “speeding up.” If velocity and acceleration have opposite signs, the particle is “slowing down.”
Is the particle in Figure 1 speeding up slowing down or can you tell?
Without numbers on the dots we cannot tell if the particle in the figure is moving left or right, so we can’t tell if it is speeding up or slowing down. If the particle is moving to the right it is speeding up. If it is moving to the left it is slowing down.
Can the speed of a particle increases as its acceleration decreases?
Speed is magnitude of velocity and it is a scalar quantity where as acceleration is a vector quantity,hence speed of particle can increase as acceleration decreases.