In a free fall the velocity of a stone is increasing equally in equal...
Uniform Acceleration
- The motion of the stone can be described as having uniform acceleration.
- In a free fall, the only force acting on the stone is the gravitational force of the Earth.
- According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
- In this case, the net force acting on the stone is the gravitational force, and the mass of the stone remains constant.
- Therefore, the acceleration of the stone is constant throughout its free fall.
- Since the velocity of the stone is increasing equally in equal intervals of time, it means that the acceleration is constant.
- This can be understood by considering the equation of motion for uniformly accelerated motion: v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
- In this case, the initial velocity is zero as the stone starts from rest.
- As the stone falls, the time intervals are equal, and the velocity increases by the same amount in each interval.
- This implies that the acceleration remains constant.
- Therefore, the stone is experiencing uniform acceleration during its free fall.
- It is important to note that even though the stone is experiencing uniform acceleration, its speed is not constant.
- The speed of the stone increases continuously as it falls due to the constant acceleration.
In a free fall the velocity of a stone is increasing equally in equal...
- Uniform or constant acceleration is a type of motion in which the velocity of an object changes by an equal amount in every equal time period. A frequently cited example of uniform acceleration is that of an object in free fall in a uniform gravitational field.
- The acceleration of a falling body in the absence of resistances to motion is dependent only on the gravitational field strength g (also called acceleration due to gravity). By Newton's Second Law the force Fg acting on a body is given by: Fg = mg
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