Explorers on a small airless planet used a spring gun to launch a ball bearing vertically upward from the surface at a launch velocity of 15 m/sec. Because the acceleration of gravity at the planet’s surface was gs m/sec2, the explorers expected the ball bearing to reach a height of s = 15t - (1/2)gs t2 m t sec later. The ball bearing reached its maximum height 20 sec after being launched. What was the value of gs?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
Question

Explorers on a small airless planet used a spring gun to launch a ball bearing vertically upward from the surface at a launch velocity of 15 m/sec. Because the acceleration of gravity at the planet’s surface was gs m/sec2, the explorers expected the ball bearing to reach a height of s = 15t - (1/2)gs t2 m t sec later. The ball bearing reached its maximum height 20 sec after being launched. What was the value of gs?

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