Speed is scalar (it doesn't have direction), and the magnitude of velocity (a vector).
The first derivative of velocity is acceleration, therefore the first derivative of speed is the magnitude of acceleration.
Position is a vector. Therefore, its first derivative with respect to time (velocity), and its second derivative with respect to time (acceleration) are also vectors.
The speed of an object is its rate of displacement. Specifically, it is the rate of displacement over time or the first derivative of displacement with respect to time.
Average speed is the total distance divided by the total time. Instantaneous speed is the speed at one instant, that is found by taking the first derivative of the position, and evaluating it at t (time).
change in speed is acceleration. change in speed is the slope of the speed versus time graph, or the derivative of such.
Time derivative of displacement which is... speed!
First derivative of distance with respect to time.
Position is a vector. Therefore, its first derivative with respect to time (velocity), and its second derivative with respect to time (acceleration) are also vectors.
The speed of an object is its rate of displacement. Specifically, it is the rate of displacement over time or the first derivative of displacement with respect to time.
Average speed is the total distance divided by the total time. Instantaneous speed is the speed at one instant, that is found by taking the first derivative of the position, and evaluating it at t (time).
change in speed is acceleration. change in speed is the slope of the speed versus time graph, or the derivative of such.
Time derivative of displacement which is... speed!
change in speed is acceleration. change in speed is the slope of the speed versus time graph, or the derivative of such.
All it means to take the second derivative is to take the derivative of a function twice. For example, say you start with the function y=x2+2x The first derivative would be 2x+2 But when you take the derivative the first derivative you get the second derivative which would be 2
Derivative
2x is the first derivative of x2.
2x is the first derivative of x2.
Yes.