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: Calculate the height reached by the stone above the tower. The stone is projected vertically upward with an initial velocity u = 30 \, m/s. At its maximum height, its final velocity v = 0 \, m/s. The acceleration due to gravity is g = 10 \, m/s^2, acting downwards, so we use a = -g = -10 \, m/s^2 for upward motion. Using the kinematic equation v^2 = u^2 + 2as: 0^2 = (30 \, m/s)^2 + 2(-10 \, m/s^2)s 0 = 900 \, m^2/s^2 - 20 \, m/s^2 · s 20s = 900 s = (900)/(20) s = 45 \, m This is the height the stone reaches above the top of the tower. Step 2: Calculate the maximum height reached from the ground. The tower's height is 50 \, m. The maximum height from the ground is the sum of the tower's height and the height reached above the tower. Maximum height from ground = Height of tower + s Maximum height from ground = 50 \, m + 45 \, m Maximum height from ground = 95 \, m The maximum height reached from the ground is 95 m. 3 done, 2 left today. You're making progress.