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In the 1600s, Galileo Galilei studied the motion of pendulums and discovered that the period of a pendulum, the time it takes to complete one full swing, is a function of the square root of the length of its string: , where is the length of the string and is the acceleration due to gravity. Consider two pendulums released from the same pivot point and at the same angle, °. Pendulum 1 has a mass of 100 g, while Pendulum 2 has a mass of 200 g. If Pendulum 1 has a period four times the period of Pendulum 2, what is true of the lengths of the pendulums' strings

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FTCE Math 6-12 Test: Florida teacher certificate candidates are required to pass this test which covers mathematics for grades 6-12.

There are 75 multiple-choice questions, broken up into graphic, direct question, sentence completion, command, word problem, and selection items.

The FTCE Math 6-12 exam has ten competencies:

Algebra (13%)
Advanced Algebra (12%)
Functions (8%)
Geometry (15%)
Coordinate Geometry (6%)
Trigonometry (7%)
Statistics and Probability (10%)
Calculus (9%)
Mathematical Reasoning (5%)
Instruction and Assessment (15%)


In the 1600s, Galileo Galilei studied the motion of pendulums and discovered that the period of a pendulum, the time it takes to complete one full swing, is a function of the square root of the length of its string: <img src='https://www.fatskills.com/images3/ftcemath/image_018_156.png'>, where <img src='https://www.fatskills.com/images3/ftcemath/image_018_157.png'> is the length of the string and <img src='https://www.fatskills.com/images3/ftcemath/image_018_158.png'> is the acceleration due to gravity. <img src='https://www.fatskills.com/images3/ftcemath/22'> Consider two pendulums released from the same pivot point and at the same angle, <img src='https://www.fatskills.com/images3/ftcemath/image_018_160.png'>°. Pendulum 1 has a mass of 100 g, while Pendulum 2 has a mass of 200 g. If Pendulum 1 has a period four times the period of Pendulum 2, what is true of the lengths of the pendulums' strings






 
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