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
❌ Incorrect. Your setup of the variables and the kinematic equation is correct, but there is an error in the algebraic manipulation to solve for a. Step 1: Identify the given values. Initial velocity, U = 10 m/s Final velocity, V = 0 m/s (comes to rest) Displacement, S = 25 m Acceleration, a = ? Step 2: Apply the kinematic equation. V^2 = U^2 + 2aS Step 3: Substitute the values. 0^2 = (10)^2 + 2(a)(25) 0 = 100 + 50a Step 4: Solve for a. To isolate a, first subtract 100 from both sides: -100 = 50a Then, divide by 50: a = (-100)/(50) a = -2 m/s^2 The acceleration is -2 m/s^2. The negative sign indicates deceleration.