She is aiming at the target.

He aimed at the target and hit it.

He was grabbing at the rope to pull himself up.

She is arriving at the airport.

She got at the truth of the matter.

I got at the truth after hours of investigation.

He hollaed at her from across the street.

She grabbed at the opportunity to study abroad.

The cat pawed at the ball of yarn.

The cat was pawing at the door to be let outside.