A particle travels along a straight path, and its displacement x (in meters) at time t (in seconds) is defined by the equation x = t^2 (t - 4). What is the expression for the particle's acceleration as a function of time?

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Subject: Strength of Materialscivil-engineering-mcqs › strength-of-materials
Published: 15 Jan 2019
Last updated: 28 May 2026

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Explanation

Given x = t²(t - 4) = t³ - 4t², the velocity v is the first derivative of x with respect to t: v = dx/dt = 3t² - 8t. The acceleration a is the derivative of velocity: a = dv/dt = 6t - 8.

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A particle travels along a straight path, and its displacement x (in meters) at time t (in seconds) is defined by the equation x = t^2 (t - 4). What is the expression for the particle's acceleration as a function of time?

Explanation

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