A particle moves along the +ve direction of x-axis. Its position x depends on time t as x=at3+bt2+c+d. Let dx/dt represent instantaneous velocity d2x/dt2 represents instantaneous acceleration (α) of the particle.The average acc. of the particle is defined as <α> =∫αdt/dt. Find the average acc. in time interval t=0 to t=1s.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...
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A particle moves along the +ve direction of x-axis. Its position x depends on time t as x=at3+bt2+c+d. Let dx/dt represent instantaneous velocity d2x/dt2 represents instantaneous acceleration (α) of the particle.The average acc. of the particle is defined as <α> =∫αdt/dt. Find the average acc. in time interval t=0 to t=1s.

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