Respuesta :
The acceleration is defined as the ratio between the change in velocity and the time elapsed to perform such a change.
These "changes" are indicated with the capital greek letter delta, [tex] \Delta [/tex], and when you write [tex] \Delta x [/tex] you mean the difference between the finial and the inital values of the variable x:
[tex] \Delta x = x_{\text{fin}} - x_{\text{init}}[/tex]
So, the acceleration is defined as
[tex] a = \dfrac{\Delta v}{\Delta t} = \dfrac{v_{\text{fin}} - v_{\text{init}}}{t_{\text{fin}} - t_{\text{init}}}[/tex]
In this case, the initial velocity is 35, the final velocity is 65. Assuming we start the clock at the beginning of the observation, the inital time is 0 and the final time is 5. So, we have
[tex] a = \dfrac{65-35}{5-0} = \dfrac{30}{5} = 6[/tex]m/s^2
