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Calculus / University Calculus: Early Transcendentals 2 / Chapter 3.4 / Problem 11E

University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.

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Finding g on a small airless planet Explorers on a small

Chapter 3, Problem 11E

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QUESTION:

Problem 11E

Finding g on a small airless planet

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 gSm/sec2, the explorers expected the ball bearing to reach a height of s = 15t – (1/2)gSt2 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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QUESTION:

Problem 11E

Finding g on a small airless planet

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 gSm/sec2, the explorers expected the ball bearing to reach a height of s = 15t – (1/2)gSt2 m t sec later. The ball bearing reached its maximum height 20 sec after being launched. What was the value of gS?

ANSWER:

Solution :

Step 1 of 3 :

In this problem, we have to find the value of ${g}_{s}$ .

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