Atrain rolls past a stationary observer. to him, the train is moving at a speed of 32 m/s west, and a woman on the train is moving 30.8 m/s west. how long does it take the woman to move 8 m relative to the train?

the correct answer is

6.7s

#apex

Explanation:

Terminal velocity is the maximum velocity attained by a body when the net upward force on it is equal to the net downward force as it falls through a fluid from a certain height.

The time required to reach terminal velocity is infinite as the object never reaches absolute terminal velocity and always approaches terminal velocity.

The velocity of a falling object expressed in terms of terminal velocity and time 't' is given as:

Where, is a constant and has units of time.

Now, expressing the above in terms of time 't', we get:

Therefore, the formula to find time to approach terminal velocity is:

When the velocity is 76% of terminal velocity, the time taken is .

When the velocity is 96% of terminal velocity, the time taken is .

When the velocity is 99.5% of terminal velocity, the time taken is and so on..