This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Simplify the given expression for position. The position function s(T) is given by: s(T) = T^3 - 2T + T s(T) = T^3 - T Step 2: Find the velocity function by differentiating the position function with respect to T. Velocity v(T) is the first derivative of s(T): v(T) = (ds)/(dT) = (d)/(dT)(T^3 - T) v(T) = 3T^2 - 1 The velocity is 3T^2 - 1. Step 3: Find the acceleration function by differentiating the velocity function with respect to T. Acceleration a(T) is the first derivative of v(T): a(T) = (dv)/(dT) = (d)/(dT)(3T^2 - 1) a(T) = 6T Step 4: Determine the deceleration. Deceleration is the negative of acceleration. Deceleration = -a(T) Deceleration = -6T The deceleration is -6T. Last free one today — make it count tomorrow, or type /upgrade for unlimited.