Tarzan swings through the jungle by hanging from a vine. At the lowest point of a swing, Tarzan's acceleration is....

A. zero

B. not zero

C. one cannot be sure whether it's zero or not zero without additional information.

B. not zero

Tarzan maintains some centripetal acceleration through the movement. At the lowest point of a swing, his acceleration is pointed upwards due to his centripetal acceleration, and so Tarzan has some acceleration upwards (in the y-direction).

B. not zero

When Tarzan swings through the jungle by hanging from a vine, his acceleration is not zero at the lowest point of a swing. This is because acceleration is a change in velocity over time, and at the lowest point of the swing, Tarzan's velocity is changing, as he moves from swinging forward to swinging backward. Therefore, his acceleration is not zero.

To determine the acceleration at the lowest point of Tarzan's swing, we can analyze the forces acting on him. When Tarzan is at the lowest point of the swing, there are two main forces at play: gravity and tension in the vine.

Gravity always pulls objects downwards towards the center of the Earth, so it is acting on Tarzan throughout the swing. At the lowest point of the swing, gravity is acting in the downward direction.

The tension in the vine is the force that keeps Tarzan swinging in a curved path. It acts tangential to the swing arc at all points, including the lowest point. Therefore, the tension in the vine is also acting at the lowest point.

To determine the acceleration, we need to consider the net force acting on Tarzan. Net force is the total force acting on an object. In this case, the tension in the vine and gravity are the only forces.

If the tension in the vine is equal to or greater than the force of gravity at the lowest point, then the net force would be upward. This would mean Tarzan is experiencing positive acceleration.

If the tension in the vine is less than the force of gravity at the lowest point, then the net force would be downward. This would mean Tarzan is experiencing negative acceleration or deceleration.

Without additional information about the tension in the vine, we cannot determine whether the acceleration is zero or not zero. Therefore, the correct answer is C. One cannot be sure whether it's zero or not zero without additional information.

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