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Simplifying Nonperfect Roots

Question 11 • DHS Algebra 2 V

At the same time that the first arrow is dropped, a second arrow is shot from a height of 5 ft with an initial vertical velocity of 0 ft/s, but a horizontal velocity of 100 ft/s. When does the second arrow hit the ground, assuming it does not hit anything else first? Ignore the effects of air resitance.

Answer
A
before the first arrow
B
at the same time as the first arrow
C
after the first arrow

Explanation

Both arrows start at a height of 5 ft with an initial vertical velocity of 0 ft/s. Ignoring air resistance, their vertical motion is identical; the second arrow’s horizontal velocity does not affect how quickly it falls. Therefore, the second arrow hits the ground at the same time as the first arrow: choice B.

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