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: Identify the given values. The body starts from rest, so the initial velocity is u = 0 ms^-1. The acceleration is a = 2 ms^-2. The distance travelled is s = 9 m. We need to find the final velocity v. Step 2: Choose the appropriate kinematic equation. The kinematic equation that relates initial velocity (u), final velocity (v), acceleration (a), and displacement (s) is: v^2 = u^2 + 2as Step 3: Substitute the given values into the equation. v^2 = (0 ms^-1)^2 + 2(2 ms^-2)(9 m) v^2 = 0 + 36 m^2s^-2 v^2 = 36 m^2s^-2 Step 4: Solve for v. v = sqrt(36 m)^2s^-2 v = 6 ms^-1 The magnitude of its velocity after travelling 9 m is 6.0 ms^-1.