How far will a freely falling object have fallen from a position of rest when its instantaneous speed is 10m/s ?

A freely falling object have fallen from a position of rest when its instantaneous speed is 10 m/s, it will travel 5.102 meter.

Explanation:

 We have equation of motion, , where u is the initial velocity, u is the final velocity, s is the displacement and a is the acceleration.

 In this case we have final velocity = 10 m/s, initial velocity = 0 m/s, and acceleration = 9.8 .

Substituting

A freely falling object have fallen from a position of rest when its instantaneous speed is 10 m/s, it will travel 5.102 meter.

nah.   i'm just sleepy.

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y