Q. 314.1( 18 Votes )

# An elevator is de

Answer :

Given:

Distance between the coin and the floor of the elevator before the coin is dropped = 6 ft

Let, a= the acceleration of the elevator*.*

It is given that the coin reaches the floor in 1 second. This means that the coin travels 6 ft distance.

The initial velocity is *u* for the coin and 0 for the elevator.

Using the equation of motion, we get:

Equation for the coin:

=

Here,*a*‘= *g* − *a* (a‘ is the acceleration felt by the coin.)*g* = Acceleration due to gravity*g* = 9.8 m/s^{2} = 32 ft/s^{2}

on substituting the values, we get:

=

=

Therefore, we can write:

Hence, the acceleration of the elevator is 20 ft/s^{2}.

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