
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Transcribed Image Text:The position of a particle moving along the x-axis is given by \( x = 28 \, t^2 - 32 \, t^4 \), where \( x \) is in meters and \( t \) is in seconds. What is the position of the particle when it achieves its maximum speed in the positive x-direction?
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- Part (a) Enter an expression, in terms of A, B, and t, for the velocity of the particle as a function of time. v(t) = ______ Part (b) At what time, in seconds, is the particle’s velocity zero? t = ______sarrow_forwardThe speed of an object as a function of time is given by the following equation: What is the magnitude of the object's acceleration (in m/s2) at t = 5 s? X 32arrow_forwardThe velocity of a particle moving along the x-axis varies in time according to the expression v(t) = α - βt2 where α = 52.9m/s , β = 3.72m/s3, and t is in seconds. a) Find the acceleration in the time interval from t = 0 to 2.97s in units of m/s2 b) Determine the acceleration of the particle tf = 2.97s in m/s2arrow_forward
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