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# Terminal Velocity Formula

Terminal velocity is the velocity which a body gains when a freely falling body experiences air resistance equal to zero acceleration due to gravity.

Terminal Velocity Formula is given by

Where, g is the acceleration due to gravity,
h is the height from the ground

Terminal velocity is used to calculate terminal velocity, acceleration due to gravity or height if some of these quantities are known. It is expressed in meter per second (m/s).

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## Terminal Velocity Problems

Below are problems on terminal velocity which may be useful to you.

### Solved Examples

Question 1: A man is at the height of 3000 m from the ground. Calculate his terminal velocity?
Solution:

given: Height h = 3000 m,
The terminal velocity is given by
Vterminal = $\sqrt{2 \times 9.8 m/s^{2} \times 3000 m}$
= $\sqrt{58800 m^{2}/s^{2}}$
= 242.5 m/s.

Question 2: Calculate the height of the body if it is at having terminal velocity of 300 m/s.
Solution:

given: Terminal velocity Vterminal = 300 m/s,
The height is given by
h = $\frac{v_{terminal}^{2}}{2g}$
= $\frac{(300 m/s)^{2}}{2 \times 9.8 m/s^{2}}$
= 4591.8 m.

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