Final answer:
The correct equation expressing d in terms of t and a is d = 1/2 at².
Step-by-step explanation:
The correct equation expressing d in terms of t and a is d = 1/2 at² (Option a).
This can be derived from the equation d = vot + 1/2at², where d represents the distance traveled, a is the constant acceleration, t is the time taken, and vo is the initial velocity (which is 0 in this case since the object is starting from rest).