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A paper glider is launched horizontally

from a height of 20 feet. While in flight,
its height above the ground in feet is
given by the function h(t) = -2t +20,
where t is time in seconds. What is the
domain of h(t)?

1 Answer

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Final answer:

The domain of the function h(t) = -2t + 20 is the set of all real numbers t such that 0 ≤ t ≤ 10, which includes the time from when the paper glider is launched until it hits the ground.

Step-by-step explanation:

The domain of the function h(t) = -2t + 20, which represents the height of a paper glider above the ground in feet as a function of time in seconds, refers to the set of all possible time values t for which the function is defined. The paper glider is launched horizontally from a height of 20 feet, and the function decreases linearly as time increases, reaching the ground when h(t) equals zero. Since the glider cannot go below the ground, the domain is the set of all t ≥ 0 seconds up to the time when h(t) becomes zero.

The function will become zero at t = 10 seconds, calculated by setting h(t) equal to zero and solving for t: 0 = -2t + 20, which gives t = 10. Therefore, the domain of h(t) is all real numbers t such that 0 ≤ t ≤ 10, where t = 0 is the time the paper glider is launched and t = 10 is the time it reaches the ground.

User Mr Sorbose
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