A ball is thrown into the air and follows the parabolic path indicated by the dashed line. Use the arrows provided to indicate the approximate directions of the velocity and acceleration of the ball at each of the three locations. (Neglect air resistance.)

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Answer:

Trajectory is the path of a projectile in air. Any tangential to the curve shows it velocity and the slope of the tangential line will be it acceleration.

Explanation:

The ball is undergoing projectile motion such that the component of velocity and acceleration is towards the downward direction.

The problem is based on the projectile motion. Projectile motion is the motion possessed by any object in which it is only subjected to gravitational acceleration once released from a point.

  • In a projectile motion, the path described by an object under the action of forces is known as trajectory.
  • In the given problem, the ball is thrown in the air such that it follows the parabolic path. Then we can say that the ball has parabolic trajectory.
  • During its trajectory, the ball will experience only gravitational force due to Earth at downwards, so the velocity and acceleration of the ball will be downwards only. And there is no component of velocity and acceleration towards the horizontal direction.

Thus, we can conclude that the ball is undergoing projectile motion such that the component of velocity and acceleration is towards the downward direction.

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