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A particle moves along a straight line. For 0 < t < 2, the velocity of the particle is given by: v(t) = Vi sin(e') O is s(0) = 4. Round answers to The position of the particle at time t = the nearest thousandth where appropriate. Part A: Write and evaluate an integral expression that gives the total distance the particle traveled from time t = 0 to time t = 2. %3D Part B: Find the average velocity of the particle on the interval [0.5, 1]. Part C: Find the time intervals in which the particle is moving to the right. Show the work that leads to your answer.

A particle moves along a straight line. For 0 < t < 2, the velocity of the particle is given by: v(t) = Vi sin(e') O is s(0) = 4. Round answers to The position of the particle at time t = the nearest thousandth where appropriate. Part A: Write and evaluate an integral expression that gives the total distance the particle traveled from time t = 0 to time t = 2. %3D Part B: Find the average velocity of the particle on the interval [0.5, 1]. Part C: Find the time intervals in which the particle is moving to the right. Show the work that leads to your answer.

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A particle moves along a straight line. For 0 < t < 2, the velocity of the particle is given by: U(t) Vī sin(e') The position of the particle at time t = 0 is s(0) = 4. Round answers to the nearest thousandth where appropriate. Part A: Write and evaluate an integral expression that gives the total distance the particle traveled from time t = 0 to time t = 2. Part B: Find the average velocity of the particle on the interval [0.5, 1]. Part C: Find the time intervals in which the particle is moving to the right. Show the work that leads to your answer. Part D: Find the rightmost position of the particle. Justify your answer.
Transcribed Image Text:A particle moves along a straight line. For 0 < t < 2, the velocity of the particle is given by: U(t) Vī sin(e') The position of the particle at time t = 0 is s(0) = 4. Round answers to the nearest thousandth where appropriate. Part A: Write and evaluate an integral expression that gives the total distance the particle traveled from time t = 0 to time t = 2. Part B: Find the average velocity of the particle on the interval [0.5, 1]. Part C: Find the time intervals in which the particle is moving to the right. Show the work that leads to your answer. Part D: Find the rightmost position of the particle. Justify your answer.
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