An object moves along a straight line with position given by x(t) = 3t² - 2t + 5, where x is in meters and t is in seconds. What is the object's acceleration at t = 2 s?

Core Concept

Velocity is the derivative of position with respect to time: v(t) = dx/dt = 6t - 2. Acceleration is the derivative of velocity with respect to time: a(t) = dv/dt = 6 m/s². The acceleration is constant at 6 m/s² for all times, including t = 2 s.