Explanation:
Acceleration of an object is calculated by finding the change in its velocity divided by time taken.
If [tex]v_i[/tex] is initial velocity, [tex]v_f[/tex] is final velocity and t is time taken. Then the acceleration of the object is given by :
[tex]a=\dfrac{v_f-v_i}{t}\\\\at=v_f-v_i\\\\v_f=v_i+at[/tex] .....(1)
So, the above equation is used to find acceleration. It is called the first equation of motion. After rearranging equation (1), the correct options are :
[tex]t=\dfrac{\Delta v}{a}[/tex]
[tex]v_i=v_f-at[/tex]
[tex]v_f=v_i+at[/tex]
[tex]a=\dfrac{\Delta v}{t}[/tex]