[Solved] Which One Of The Following Statements For An Object Falling

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Question

1. Zero acceleration always implies zero velocity
2. Zero acceleration has no relation with the velocity of the object
3. Zero velocity at any instant necessarily means zero acceleration at that instant
4. Acceleration is constant all throughout the free fall

Answer (Detailed Solution Below)

Detailed Solution

The correct answer is Acceleration is constant all throughout the free fall.

Key Points

• An object that is moving only because of the action of gravity is said to be free-falling and its motion is described by Newton's second law of motion.
• The acceleration of the freely falling object is constant and equal to the acceleration due to gravity.
• Acceleration due to gravity is denoted by the symbol - g.
• g = 9.8 m/s2 at sea level on the Earth.
• Its SI unit is m/s2.
• The dimensional formula is given by [M0 L1 T-2].
• Acceleration due to gravity is a vector quantity, which means it has both a magnitude and a direction.
• The value of acceleration due to gravity ‘g’ is affected by:-
  • Altitude above the earth’s surface.
  • Depth below the earth’s surface.
  • The shape of the earth.
  • Rotational motion of the earth.
• A free-falling object has only one external force which is the gravitational force. So it experiences constant acceleration.

Additional Information

• Zero acceleration does not imply zero velocity, as a body moving with a constant velocity can have zero acceleration and the body is in motion.
• Zero acceleration has a relation with the velocity of the object as it implies the body is at constant velocity.
• The zero-velocity of a body at any instant does not necessarily imply zero acceleration at that instant.
• The kinematic equation of motions is true only for motion in which the magnitude and the direction of acceleration are constants during the course of motion.

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