How you express average speed and average velocity in equation form?

Answer 1

The only difference between speed and velocity is that velocity is a vector, so it must have magnitude and direction. Speed is just a magnitude. So, speed is just change in position (distance traveled) divided by time. s=d/t. Velocity is the same equation, but you need to give it a direction, e.g. to the right, or up. if you are using deltas (∆) the s=∆d/∆t. The delta (∆) just means change. So the expanded form would be

d2-d1/t2-t1. If you are using calculus, than v(x)=dx/dt where dx is the instantaneous change in position and dt is the infinitely small change in time. However, if you are operating in 3 dimensions than v(x,y,z)=∂x/∂t+∂y/∂t+∂z/∂t.

Answer 2

Average speed is given by the equation: Average speed = total distance traveled / total time taken

Average velocity is given by the equation: Average velocity = displacement / total time taken