The equation that relates speed, displacement, and time for a moving object depends on the context and type of motion. Here are the common equations used:
Average Speed: Average Speed = Total Distance Traveled / Total Time Taken
Instantaneous Speed: Instantaneous Speed refers to the speed of an object at a particular instant in time. It is often represented by "v" and is given by the derivative of displacement with respect to time: v = ds/dt
Displacement: Displacement refers to the change in position of an object. It is often represented by "s" and can be calculated as the difference between the final position (xf) and the initial position (xi): Displacement (s) = xf - xi
Average Velocity: Average Velocity is the displacement of an object divided by the total time taken. It is a vector quantity that includes both magnitude and direction: Average Velocity = Displacement / Time
Instantaneous Velocity: Instantaneous Velocity refers to the velocity of an object at a particular instant in time. It is the derivative of displacement with respect to time: Instantaneous Velocity = ds/dt
It's important to note that these equations assume constant speed or velocity over the given time interval. In cases of non-uniform motion, where speed or velocity changes, more complex equations may be required.