Provide an appropriate response.The height of an object thrown in the air depends on the time since it's been thrown. For a particular situation the height in meters of an object after t seconds can be represented by h(t) = 20t - 4.9t2.(a)What is the domain of this function out of context?(b)What is the domain of this function in the given context?(c)Find h(s), h(s + 2), and h(s + 6).(d)Use an equation to describe what happens to the height if the time increases by a constant d.
What will be an ideal response?
| (a) | all real numbers |
| (b) | t ? 0 |
| (c) | -4.9s2 + 20s; -4.9s2 + 0.4s + 20.4; -4.9s2 - 38.8s - 56.4 |
| (d) | h(s + d) = -4.9s2 + (20 - 9.8d)s + 20d - 4.9d2 |
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