Zero velocity is not zero acceleration

The mistake

Concluding a = 0 at the instant an object is momentarily at rest.

Why it feels right

If it's not moving, it seems like nothing is changing.

How to catch it

You set acceleration to zero at a turning point (top of a toss, ends of an oscillation).

The first principle

Acceleration is set by the net force, not the current speed. At the top of a toss v = 0 but a = −g; at the extremes of SHM speed is zero yet acceleration is maximal.

worked mini-example

At the peak of its flight, what is a thrown ball's acceleration?

Common wrong move

Zero — it's momentarily stopped.

Correct

−g downward; gravity never switches off.

Test the repair NL-03 · transfer
At the leftmost turning point of a horizontal spring oscillator, the cart is instantaneously at rest. Its acceleration points:

Make a fresh prediction before referring to the worked example.