Which formula is used to find an object’s acceleration?

There are different formulas that can be used to find acceleration, depending on which quantities we know in the problem. For example:

1) If we know the mass of an object (m) and the force applied to it (F), we can find acceleration by using Newton's second law

2) If we know the initial velocity (vi), the final velocity (vf) of an object and the time taken (t) for this change in velocity to happen, we can find acceleration with the formula

since acceleration is defined as the rate of change of velocity per unit time.

Explanation:

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s