Graphing calculator allowed. The position function of a particle in rectilinear motion is given by the equation s(t) = 25 for t≥ 0. t²+5 a. Sketch graphs of the position, velocity, and acceleration graphs for the interval 0 ≤ t ≤ 16. Label and mark the axes. b. Determine, to the thousandths place, the value of t at which the particle reverses direction. Explain. C. Find the position, velocity, and acceleration at the t value found in part b. d. Determine the time intervals on which the particle is speeding up and when it is slowing down. Explain. e. Determine when the particle has its maximum and minimum velocities.
Graphing calculator allowed. The position function of a particle in rectilinear motion is given by the equation s(t) = 25 for t≥ 0. t²+5 a. Sketch graphs of the position, velocity, and acceleration graphs for the interval 0 ≤ t ≤ 16. Label and mark the axes. b. Determine, to the thousandths place, the value of t at which the particle reverses direction. Explain. C. Find the position, velocity, and acceleration at the t value found in part b. d. Determine the time intervals on which the particle is speeding up and when it is slowing down. Explain. e. Determine when the particle has its maximum and minimum velocities.
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Transcribed Image Text:3. Graphing calculator allowed. The position function of a particle in rectilinear motion is given by the equation
s(t) = 245 for t≥ 0.
t²+5
a. Sketch graphs of the position, velocity, and acceleration graphs for the interval 0 ≤ t ≤ 16. Label and mark the
axes.
b. Determine, to the thousandths place, the value of t at which the particle reverses direction. Explain.
C. Find the position, velocity, and acceleration at the t value found in part b.
d. Determine the time intervals on which the particle is speeding up and when it is slowing down. Explain.
Determine when the particle has its maximum and minimum velocities.
e.
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