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
Hey ThegirlGodishelping🥰💙🫠, good to see you again. Step 1: Determine the time it takes for the stone to fall. The initial vertical velocity (u_y) is 0 m/s because the stone is thrown horizontally. The vertical displacement (s_y) is the height of the building, 45 m. The acceleration due to gravity (a_y) is 9.8 m/s^2. We use the kinematic equation: s_y = u_y t + (1)/(2)a_y t^2. 45 m = (0 m/s)t + (1)/(2)(9.8 m/s^2)t^2 45 = 4.9t^2 t^2 = (45)/(4.9) t = sqrt((45)/(4.9)) t ≈ 3.03 s Step 2: Calculate the horizontal distance. The horizontal velocity (v_x) is constant at 20 m/s. The horizontal distance (x) is given by x = v_x t. x = (20 m/s)(3.0304578 s) x ≈ 60.6 m The stone lands approximately 60.6 m from the foot of the building. 60.6 m Send me the next one 📸