Suppose that at time t = 0 a particle is at the origin of anx-axis and has a velocity of
Chapter 5, Problem 31(choose chapter or problem)
Suppose that at time \(t = 0\) a particle is at the origin of an \(x\) - axis and has a velocity of \(v_{0}=25 \mathrm{~cm} / \mathrm{s}\). For the first 4 s thereafter it has no acceleration, and then it is acted on by a retarding force that produces a constant negative acceleration of \(a=-10 \mathrm{~cm} / \mathrm{s}^{2}\).
(a) Sketch the acceleration versus time curve over the interval \(0 \leq t \leq 12\).
(b) Sketch the velocity versus time curve over the time interval \(0 \leq t \leq 12\).
(c) Find the \(x\) - coordinate of the particle at times \(t =8\) s and \(t = 12\) s.
(d) What is the maximum \(x\) - coordinate of the particle over the time interval \(0 \leq t \leq 12\)?
Equation Transcription:
Text Transcription:
t = 0
x
v_0 = 25 cm/s
a = -10 cm} / s^2
0 leq t leq 12
0 leq t leq 12
x
t = 8
t = 12
x
0 leq t leq 12
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