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Suppose that a particle moves along a straight line with velocity v(t) = 7 — 4t, where 0 ≤ t ≤ 1.5 (in meters per second). Find the formula for the displacement of the particle and the total distance it has traveled at time t = 1.5 seconds. Displacement at time t is: Total distance traveled: meters in 1.5 seconds

Suppose that a particle moves along a straight line with velocity v(t) = 7 — 4t, where 0 ≤ t ≤ 1.5 (in meters per second). Find the formula for the displacement of the particle and the total distance it has traveled at time t = 1.5 seconds. Displacement at time t is: Total distance traveled: meters in 1.5 seconds

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Problem Statement Suppose that a particle moves along a straight line with velocity \( v(t) = 7 - 4t \), where \( 0 \leq t \leq 1.5 \) (in meters per second). Find the formula for the displacement of the particle and the total distance it has traveled at time \( t = 1.5 \) seconds. - **Displacement at time \( t \) is:** [Box for answer] - **Total distance traveled:** [Box for answer] meters in 1.5 seconds.
Transcribed Image Text:### Problem Statement Suppose that a particle moves along a straight line with velocity \( v(t) = 7 - 4t \), where \( 0 \leq t \leq 1.5 \) (in meters per second). Find the formula for the displacement of the particle and the total distance it has traveled at time \( t = 1.5 \) seconds. - **Displacement at time \( t \) is:** [Box for answer] - **Total distance traveled:** [Box for answer] meters in 1.5 seconds.
In a memory experiment, the rate of memorizing is described by the function \( M'(t) = -0.001t^2 + 0.2t \), where \( M'(t) \) denotes the memory rate in words per minute. The task is to determine how many words are memorized in the first 7 minutes. An input box is presented for the answer in words. Instructions: Round your answer to the nearest whole word.
Transcribed Image Text:In a memory experiment, the rate of memorizing is described by the function \( M'(t) = -0.001t^2 + 0.2t \), where \( M'(t) \) denotes the memory rate in words per minute. The task is to determine how many words are memorized in the first 7 minutes. An input box is presented for the answer in words. Instructions: Round your answer to the nearest whole word.
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