Question

Critically examine the free fall of an object due to gravity

Answer 1

Given :-

• Critically examine the free fall of an object due to gravity

Solution :-

• A freely falling body is a body which is dropped from a certain height from the ground. It falls down under the sole influence of gravity, as we are not applying any force on it.
• So, as we are not applying any force on it while we are dropping it, the initial velocity of the object is 0
• It moves in the downward direction under the sole influence of gravity, so the acceleration is +g units which is equal to + 9.8 m/s²
• As the direction of the body is always downward/ towards the centre of the earth, it comes under 1 dimensional motion (under gravity)

• We can apply the equations of motion here as well, by substituting a = +g & u = 0 . The equations of motion in this case will be :-

       → v = gt

       → s = 1/2 gt²

      → v² = 2gh

      → sₙ = g/2 (2n - 1)

• As the body falls down, the potential energy of the body decreases and the kinetic energy increases.
• The time taken by the body to reach the ground is called time of descent

       → Time of descent = u/g = √2h/g

→ How does the various physical quantities change during the free fall of a body?

i) Displacement

• It increases with time. The total displacement can be calculated by the second equation of motion i.e s = 1/2 gt²

ii) Velocity

• It also increases with time. It increases by "g" units every second.
• The velocity of the body on hitting the ground can be calculated using the third equation of motion i.e v² = 2gh

iii) Acceleration

• It is constant throughout the motion.
• As it is constant, it is a uniformly accelerated motion

Note :-

• Here, the air resistance is ignored

That's all about a free fall of a object due to gravity

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