Analyze Equations

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?

Questions 30 and 31 refer to the following information.
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?

(Errata: The parabola shown in the video does not represent the “trajectory” of the arrow. It represents the height or vertical displacement (from the ground) of the arrow. Thanks Margaret for pointing out the error.)

Question 30:

Question 31:

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