An object is falling from a height of 7.5 meters. at what height will its velocity be 7 meters/second?

5.0 m

Explanation:

The velocity of the object at time t is given by

where a=9.8 m/s^2 is the acceleration of gravity and t is the time. If we substitute v=7 m/s, we can find the time t at which the velocity became 7 m/s:

The height of the object at time t, h(t), is given by the equation

where is the initial height. By substituting t=0.71 s inside the equation, we find the height h(t) at which the velocity is 7 m/s:

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