To find the time when only acceleration and velocity are given, you can use the following equation:
v = u + at
Where: v = final velocity u = initial velocity a = acceleration t = time
If you know the initial velocity (u), acceleration (a), and final velocity (v), you can rearrange the equation to solve for time (t):
t = (v - u) / a
Simply subtract the initial velocity from the final velocity and divide the result by the acceleration. This will give you the time taken for the object to reach the final velocity.
Alternatively, if you know the initial velocity (u), acceleration (a), and the displacement (s) instead of final velocity, you can use the following equation:
s = ut + (1/2)at^2
To find time (t) in this case, you can rearrange the equation:
t = sqrt((2s) / a) - (u / a)
Here, you square root the quantity (2s / a) and subtract the initial velocity divided by the acceleration. This will give you the time taken for the object to travel the given displacement.