Question

an object at rest begins to rotate with a constant acceleration. if the object rotates trough an angle in the time, t, through what angle did it rotate in the time t/2?

Answer 1

same idea as uniformly accelerated motion in straight line
Theta(t) = acc*0.5*t^2

Answer 2

so one quarter of

Answer 3

Forget the fact that it's rotating for a while- same thing.
If something is accelerating and every second an LED blinks, the blinks will look something like this ,with acceleration rightwards.

So in this case the average speed in the first half a second is more than the average speed in the second half a second, so the distance travel led in first half< distance in second half.

That's the intuition, but mathematically, Mikael is correct.

Answer 4

Or: distance is equal to the area under a velocity-time graph.