Explanation:
By definition, the word acceleration is equal to the rate of change of velocity. Mathematically, it is given by :
[tex]a=\dfrac{dv}{dt}[/tex]
[tex]dv=a.dt[/tex]
[tex]v=\int\limits^t_0 {a.dt}[/tex]
Since, it is given that acceleration is constant
[tex]v=at+v_o[/tex]
v₀ is the constant of integration and it corresponds to initial velocity
From above equation, it is clear that when acceleration is constant the speed varies linearly. Hence, when an object move with constant acceleration, it always changes its velocity.
