A soft ball is thrown up vertically in the air at to = Os from an initial height of 15m and with an initial velocity of 10m/s. We assume that the only acceleration is due to gravity, 9.8m/s². (a) Use integration to find the maximum height that the ball reaches. (b) Sketch a position-time and velocity-time graph for the movement of the ball until it hits the ground at 0m, indicating the time when this happens.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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A soft ball is thrown up vertically in the air at to = Os from an initial height of 15m and with
an initial velocity of 10m/s. We assume that the only acceleration is due to gravity, 9.8m/s².
(a) Use integration to find the maximum height that the ball reaches.
(b) Sketch a position-time and velocity-time graph for the movement of the ball until it hits
the ground at 0m, indicating the time when this happens.
Transcribed Image Text:A soft ball is thrown up vertically in the air at to = Os from an initial height of 15m and with an initial velocity of 10m/s. We assume that the only acceleration is due to gravity, 9.8m/s². (a) Use integration to find the maximum height that the ball reaches. (b) Sketch a position-time and velocity-time graph for the movement of the ball until it hits the ground at 0m, indicating the time when this happens.
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