In a hypothetical universe, the magnitude of acceleration of an object subject to the gravitational force field of an Earth- like planet increases with the amount of time in seconds, t, spent in the field as a = (9.8 m/s2) (1 - e -0.1 t) A ball is thrown vertically upward at 40 m/s. What is the final position after 1 second of travel? How fast is it moving at that moment? Assume that the origin is at the initial launch position.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter4: Two-and-three Dimensional Motion
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  1. In a hypothetical universe, the magnitude of acceleration of an object subject

    to the gravitational force field of an Earth- like planet increases with the amount of time in seconds, t, spent in the field as

    a = (9.8 m/s2) (1 - e -0.1 t)

A ball is thrown vertically upward at 40 m/s. What is the final position after 1 second of travel? How fast is it moving at that moment? Assume that the origin is at the initial launch position.

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