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 and the unknown. The object falls freely, so its initial velocity is u = 0 m/s. The total height from which the object starts is 25 m. The height of the roof is 5 m. The acceleration due to gravity is g = 10 m/s^2. We need to find the final velocity v when the object strikes the roof. Step 2: Calculate the displacement. The object falls from a height of 25 m to a height of 5 m. The displacement s is the distance fallen: s = 25 m - 5 m = 20 m Step 3: Use the appropriate kinematic equation. Since we have initial velocity (u), acceleration (a=g), displacement (s), and we need to find the final velocity (v), we use the equation: v^2 = u^2 + 2as Substitute the known values: v^2 = (0 m/s)^2 + 2(10 m/s^2)(20 m) v^2 = 0 + 400 m^2/s^2 v^2 = 400 m^2/s^2 Step 4: Solve for v. v = sqrt(400 m)^2/s^2 v = 20 m/s The velocity with which the object strikes the roof is 20.0 m/s.