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 time taken for the particle to hit the ground. For vertical motion, the initial vertical velocity is u_y = 0 \, m/s. The vertical displacement is h = 45 \, m, and the acceleration due to gravity is g = 10 \, m/s^2. Using the kinematic equation s = ut + (1)/(2)at^2: h = u_y t + (1)/(2)gt^2 45 \, m = (0 \, m/s)t + (1)/(2)(10 \, m/s^2)t^2 45 = 5t^2 t^2 = (45)/(5) t^2 = 9 \, s^2 t = sqrt(9 \, s)^2 t = 3 \, s Step 2: Calculate the horizontal distance covered. The horizontal velocity u_x = 10 \, m/s remains constant throughout the flight. The horizontal distance x is given by: x = u_x t x = (10 \, m/s)(3 \, s) x = 30 \, m The horizontal distance covered by the particle is 30 m. Send me the next one 📸