A body moving on a curved path means its direction is changing, though the magnitude of the velocity might be same or different. According to Newton’s Second Law of Motion, the change of direction requires force i.e. it requires acceleration. Hence, a body cannot move on a curved path without having acceleration.
[Read: Motion in a Straight Line]
A player hits a baseball at some angle. The ball goes high up in space. The player runs and catches the ball before it hits the ground. Which of the two (the player or the ball) has greater displacement?