33
QuizMultiple Choice

Performing Operations with Complex Numbers — Unit test

Question 33 • MO-Algebra II A-CR

A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°. How long is the dart in the air? Round to the nearest tenth.

Answer
A
0.7 seconds
B
0.8 seconds
C
1.5 seconds
D
1.6 seconds

Explanation

The dart’s upward velocity is 25 sin(70°), or about 23.5 feet per second. Its height after t seconds is h = 3 + 23.5t − 16t²; setting h to 0 and solving for the positive time gives about 1.59 seconds. Rounded to the nearest tenth, the dart is in the air for 1.6 seconds, choice D.

AI-written and checked against the verified answer.

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