At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

If you know the acceleration and time, how can you calculate the average velocity?.

Sagot :

The average velocity in terms of acceleration and time is 1/2at².

Average velocity:

Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.

Assume the acceleration a is uniform then:

v(t) = u + at

u = initial velocity

By average velocity v we mean average over time than strictly speaking:

v = 1/t [tex]\int\limits^t_0 {v(t)} \, dt[/tex]

  = 1/t [tex]\int\limits^t_0 {(u + at)} \, dt[/tex]

  = 1/t ( ut + 1/2 at²)

 v = u + 1/2at²

If u =0, then we have

v = 1/2 at²

Therefore the average velocity is 1/2at².

To know more about the velocity refer to the link given below:

https://brainly.com/question/80295?source=archive

#SPJ4