How do you work out velocity acceleration?

Answer 1

v2 = v02 + 2a(delta x)

v = sqrt(v02 + 2a(delta x))

This is based on the assumption that there is constant acceleration.

Another way to find velocity is using a little Calculus, this method is better since it does not assume constant acceleration, therefore this would work even if there is a change in acceleration.

Since v = dx/dt, you can differentiate position with respects to time to find instantaneous velocity, given that you do know the time.

And dv/dt = a, therefore dv = a x dt, integrate both sides you get velocity. This approach again requires the knowledge of time.

Answer 2

Velocity is the change in position per time.

Average velocity can be calculated by dividing the change in position by the change in time.

Vavg = (xf - xi) / (tf - ti)

where (xf - xi) is the change in position, and (tf - ti) is the change in time.

Instantaneous velocity can be found by calculating the slope (derivative) of the graph x versus t:

V = (dx) / (dt)



Acceleration is the change in velocity per time.

Average acceleration can be calculated by dividing the change in velocity by the change in time.

aavg = (vf - vi) / (tf - ti)

where (vf - vi) is the change in velocity, and (tf - ti) is the change in time.

Instantaneous acceleration can be found by calculating either the slope (derivative) of the graph v versus t:

a= (dv) / (dt)

or the 2nd derivative of the graph x versus t:

a= (d2x) / (dt2)

Answer 3

Velocity of a body is the distance travelled by it per unit time in a given direction. Velocity is a vector quantity as it has both magnitude as well as direction. Velocity can be calculated using any of the 3 laws of motion given by Newton.

Answer 4

Velocity = Displacement/Time

Acceleration = Change in velocity (Final speed - initial speed) / time