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Analyze Equations

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This video is for the redesigned SAT, which is for you, if you are taking the SAT in March 2016 and beyond.

Calculator: Permitted
Passport to Advanced Math

How to analyze equations and functions in context?

v = v0 - gt
h = v0t - 1/2 gt2
v2 = v02 - 2gh

An arrow is launched upward with an initial speed of 100 meters per second (m/s). The equations above describe the constant-acceleration motion of the arrow, where v0 is the initial speed of the arrow, v is the speed of the arrow as it is moving up in the air, h is the height of the arrow above the ground, t is the time elapsed since the arrow was projected upward, and g is the acceleration due to gravity (9.8 m/s2).

Part 1: What is the maximum height from the ground the arrow will rise to the nearest meter?

Part 2: How long will it take for the arrow to reach its maximum height to the nearest tenth of a second?

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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