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224. Suppose that a particle moves along a straight line with velocity defined by v (t) = t² – 3t – 18, where 0 ≤ t ≤ 6 (in meters per second). Find the displacement at time t and the total distance traveled up to t = 6.

224. Suppose that a particle moves along a straight line with velocity defined by v (t) = t² – 3t – 18, where 0 ≤ t ≤ 6 (in meters per second). Find the displacement at time t and the total distance traveled up to t = 6.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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224. Suppose that a particle moves along a straight line with velocity defined by v (t) = t² – 3t – 18, where 0 ≤ t ≤ 6 (in meters per second). Find the displacement at time t and the total distance traveled up to t = 6. 228. A ball is thrown upward from a height of 3m at an initial speed of 60 m/sec. Acceleration resulting from gravity is -9.8m/sec². Neglecting air resistance, solve for the velocity v(t) and the height h(t) of the ball t seconds after it is thrown and before it returns to the ground.
Transcribed Image Text:224. Suppose that a particle moves along a straight line with velocity defined by v (t) = t² – 3t – 18, where 0 ≤ t ≤ 6 (in meters per second). Find the displacement at time t and the total distance traveled up to t = 6. 228. A ball is thrown upward from a height of 3m at an initial speed of 60 m/sec. Acceleration resulting from gravity is -9.8m/sec². Neglecting air resistance, solve for the velocity v(t) and the height h(t) of the ball t seconds after it is thrown and before it returns to the ground.
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