Acceleration is defined as rate of change in velocity
So we can write its formula as
![a = (v_f - v_i)/(t)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/dcc1sr1f1gdkmquo6ue545hucqoq4pn0kv.png)
here we know that
= final velocity = 56 m/s
= 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
![a = (56 - 7.6)/(3)](https://img.qammunity.org/2019/formulas/physics/middle-school/373q6z4k700xs54prr8gsm63ek0pwtge5c.png)
![a = (48.4)/(3)](https://img.qammunity.org/2019/formulas/physics/middle-school/6iiihalhaa0tetwvhiibf9sqgk1o9dpqsn.png)
![a = 16.13 m/s^2](https://img.qammunity.org/2019/formulas/physics/middle-school/fjiv3ldcbghafvp7mohw139tupqds4w0pi.png)
so here roller coaster will accelerate at rate of 16 m/s^2 and hence correct answer is "option d"