Free fall of an object in vacuum is a case of motion witha)uniform vel...
Free fall of an object in vacuum is a case of motion with uniform acceleration.
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Free fall of an object in vacuum is a case of motion witha)uniform vel...
Uniform Acceleration in Free Fall
When an object falls freely in a vacuum, it experiences a constant acceleration due to gravity. This is known as free fall. The correct option is 'b) uniform acceleration' because the velocity of the object changes at a constant rate as it falls.
Explanation:
- Definition of Free Fall: Free fall refers to the motion of an object under the influence of gravity only, without any other forces acting on it. In a vacuum, where there is no air resistance, the object experiences pure free fall.
- Acceleration due to Gravity: The acceleration experienced by an object in free fall is due to the force of gravity. Near the surface of the Earth, the acceleration due to gravity is approximately 9.8 m/s^2. This means that the velocity of the object increases by 9.8 m/s every second it falls.
- Uniform Acceleration: In free fall, the object falls with a uniform acceleration. This means that the rate of change of velocity is constant. The velocity of the object increases by the same amount every second, making it a uniform acceleration.
- Velocity-Time Relationship: The relationship between velocity and time during free fall can be described by the equation: v = u + gt, where v is the final velocity, u is the initial velocity (usually taken as zero in free fall), g is the acceleration due to gravity, and t is the time. This equation shows that the velocity of the object increases linearly with time during free fall.
- Position-Time Relationship: The relationship between the position and time during free fall can be described by the equation: s = ut + (1/2)gt^2, where s is the displacement, u is the initial velocity, g is the acceleration due to gravity, and t is the time. This equation shows that the displacement of the object increases quadratically with time during free fall.
Conclusion:
In conclusion, free fall of an object in a vacuum is a case of motion with uniform acceleration. The object experiences a constant acceleration due to gravity, and its velocity and displacement increase with time according to specific equations.
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