The position of a particle moving along the x-axis is described by the equation x = 6.8t + 5.5t². To find acceleration as a function of time, one must derive the position function twice: the first derivative yields velocity, and the second derivative provides acceleration. The discussion emphasizes the importance of understanding the relationship between displacement, velocity, and acceleration through basic calculus. A common mistake is to solve for a specific time rather than expressing acceleration as a function of time. The correct approach involves obtaining an equation for acceleration rather than a numerical value.
