Acceleration is defined as rate of change in velocity
So we can write its formula as
[tex]a = \frac{v_f - v_i}{t}[/tex]
here we know that
[tex]v_f[/tex] = final velocity = 56 m/s
[tex]v_i[/tex] = initial velocity = 7.6 m/s
t = time interval to change the velocity = 3 s
now we will plug in all values in the above equation
[tex]a = \frac{56 - 7.6}{3}[/tex]
[tex]a = \frac{48.4}{3}[/tex]
[tex]a = 16.13 m/s^2[/tex]
so here roller coaster will accelerate at rate of 16 m/s^2 and hence correct answer is "option d"
