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vredina [299]
3 years ago
6

What is the final velocity of an object that is dropped if it falls a distance of 100 m?

Physics
1 answer:
Liula [17]3 years ago
4 0

Answer:

44.27m/s

Explanation:

The kinematic equation

v_f^2=v_0^2+2ad

gives the final velocity v_f of the object given the initial velocity v_0, the acceleration a, and the distance traveled d.

For our case, the object is dropped; therefore,

v_0=0

I.e. the initial velocity is zero. The acceleration due to gravity is

a=9.8m/s^2,

and the distance traveled is d=100m.

Putting the values into the equation we get:

v_f^2=0+2(9.8ms^{-2})(100m)\\\\v_f^2=1960\\\\v_f=\sqrt{1960} \\\\\boxed{v_f=44.27m/s}

The final velocity of the object is 44.27 m/s.

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