Question

An object falls a distance $h$ from rest. If it travels $0.50 h$ in the last $1.00 \mathrm{~s}$, find (a) the time and (b) the height of its fall. (c) Explain the physically unacceptable solution of the quadratic equation in $t$ that you obtain.

          An object falls a distance $h$ from rest. If it travels $0.50 h$ in the last $1.00 \mathrm{~s}$, find (a) the time and (b) the height of its fall. (c) Explain the physically unacceptable solution of the quadratic equation in $t$ that you obtain.
        
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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An object falls a distance $h$ from rest. If it travels $0.50 h$ in the last $1.00 \mathrm{~s}$, find (a) the time and (b) the height of its fall. (c) Explain the physically unacceptable solution of the quadratic equation in $t$ that you obtain.
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Transcript

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00:01 All right, so let's say an object falls from a height of h, and we're told that it falls the final half of the height in one second.
00:09 And so we want to know what is the time and the height of its total fall.
00:16 So the velocity it has at the midpoint is going to be the square root of two times g times the change in height.
00:23 And the change in height is h over 2.
00:25 So when we multiply those together, we get this.
00:27 And so that'll be the velocity it has at this point.
00:30 So then the final displacement of the object, which is negative h over 2, that's for the second part like this...
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