In the diagram above, a ball placed on top of a tower 150 m high is kicked with a velocity of 20 m s−1 to hit the ground at a distance, S, as shown. Determine the value of S. [Take g = 10.0 m s−2]

Step 1: Determine the time taken for the ball to fall vertically. The initial vertical velocity is u_y = 0 m/s since the ball is kicked horizontally. The vertical displacement is h = 150 m, and the acceleration due to gravity is g = 10.0 m/s^2. Using the equation of motion h = u_y t + (1)/(2)gt^2: 150 = (0)t + (1)/(2)(10.0)t^2 150 = 5t^2 t^2 = (150)/(5) t^2 = 30 t = sqrt(30) s Step 2: Calculate the horizontal distance S. The horizontal velocity is constant, u_x = 20 m/s. The horizontal distance S is given by S = u_x t. S = 20 × sqrt(30) S ≈ 20 × 5.4772 S ≈ 109.544 m Rounding to a reasonable number of significant figures (e.g., three, based on input values): S ≈ 110 m The value of S is 110 m Step 3: List three applications of the photoelectric effect. • Photocells (used in automatic doors, street lights, and burglar alarms) • Solar cells (photovoltaic cells) for generating electricity • Digital cameras and other image sensors (e.g., CCDs, CMOS sensors) Send me the next one 📸