Question

A painter drops a brush from a platform 75 feet high. The polynomial function $h(t)=-16 t^2+75$ gives the height of the brush $t$ seconds after it was dropped. Find the height after $t=2$ seconds.

   A painter drops a brush from a platform 75 feet high. The polynomial function $h(t)=-16 t^2+75$ gives the height of the brush $t$ seconds after it was dropped. Find the height after $t=2$ seconds.
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 5, Problem 67 ↓
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A painter drops a brush from a platform 75 feet high. The polynomial function $h(t)=-16 t^2+75$ gives the height of the brush $t$ seconds after it was dropped. Find the height after $t=2$ seconds.
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A painter working high on the side of a skyscraper drops his brush from his scaffolding, which is hanging 1024 feet above the ground. The height above the ground of the brush can be modeled by the equation h = -16t^2 + 1024, where t is the number of seconds after the brush is dropped and h is the height in feet. Interpret the meaning of -16t^2 in this context.


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Transcript

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00:01 Hello, so here we have a polynomial function given by h of t, which is going to give the given height here of this brush.
00:09 So the function is negative 16 t squared and then plus 75.
00:18 So this gives again the height of this brush t seconds after it's dropped.
00:24 When to find the height after two seconds, it's going to be finding while just age of two, is going to be after two seconds.
00:33 So when t is equal to two, this is finding h of 2, which is then negative 16 times 2 squared plus 75.
00:43 Well, 2 squared is 4...
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