Position - How far an object has traveled as well as the direction it has traveled from a specific point (vector)
Distance - How far an object has traveled, regardless of direction (scaler)
Displacement - How far an object has traveled relative to it's starting position (vector)
vector - a quantity having both direction and magnitude
scalar - a quantity having only magnitude, not direction
Distance - How far an object has traveled, regardless of direction (scaler)
Displacement - How far an object has traveled relative to it's starting position (vector)
vector - a quantity having both direction and magnitude
scalar - a quantity having only magnitude, not direction
The relationship between position/time graphs vs velocity time graphs as well as Velocity time graphs vs acceleration time graphs can thought of in terms of concavity
If a position time graph is concave up increasing then as time goes on, position increases faster per each increment of time. In other words the position per time is increasing, which is exactly what the velocity is, so the velocity for a concave up position time graph would be positive and increasing
By the same logic, a concave down increasing graph is still a positive velocity, but it's getting less positive over time so the velocity time graph would be above the x axis, but negative
For concave up decreasing, the slope is negative but it's getting less negative so the velocity be below the x axis but negative
For concave down decreasing, the velocity would be getting more negative and decreasing
If a position time graph is concave up increasing then as time goes on, position increases faster per each increment of time. In other words the position per time is increasing, which is exactly what the velocity is, so the velocity for a concave up position time graph would be positive and increasing
By the same logic, a concave down increasing graph is still a positive velocity, but it's getting less positive over time so the velocity time graph would be above the x axis, but negative
For concave up decreasing, the slope is negative but it's getting less negative so the velocity be below the x axis but negative
For concave down decreasing, the velocity would be getting more negative and decreasing