differentiate velocity in terms of time.
-
you can calculate acceleration for any interval of time by this equation
Acceleration A = v2-v1/t2-t1 = dv/dt
Acceleration is change of velocity per secs,
Example 1 If object travel 2meters in first second, Than also 2meters in next one second. Than there is no acceleration , Because there is no change in velocity. This is state of uniform velocity.
Example 2 If object travel 2meter in first second, Than also 4meters in next one second. , Now velocity is increased mean Than there is a acceleration for this 2 secs of time interval.
You can calculate from equation 1
A= 4-2/2-1= 2m/secs ^2
Acceleration A = v2-v1/t2-t1 = dv/dt
Acceleration is change of velocity per secs,
Example 1 If object travel 2meters in first second, Than also 2meters in next one second. Than there is no acceleration , Because there is no change in velocity. This is state of uniform velocity.
Example 2 If object travel 2meter in first second, Than also 4meters in next one second. , Now velocity is increased mean Than there is a acceleration for this 2 secs of time interval.
You can calculate from equation 1
A= 4-2/2-1= 2m/secs ^2
-
if you have two velocities at two different times you can calculate average acceleration
a = (v(2) - v(1))/(2 -1) = v(2) - v(1)
see how that gives average acceleration
this is not as useful as the differential but this can be calculated even if you have no equation for velocity
a = (v(2) - v(1))/(2 -1) = v(2) - v(1)
see how that gives average acceleration
this is not as useful as the differential but this can be calculated even if you have no equation for velocity
-
You can't differentiate in terms of time. They are both referenced to a unit of time. Velocity is a sustained amount of distance/time unit were as acceleration is a change in that sustained amount wether it be an increase or decrease.