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 is the rate of change of displacement with respect to time, while acceleration is the rate of change of velocity with respect to time. To find velocity, you integrate acceleration with respect to time, and conversely, to find acceleration, you differentiate velocity with respect to time. Mathematically, velocity = ∫ acceleration dt and acceleration = d(velocity) / dt.

Answer 5

Velocity = Displacement/Time

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