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
Welcome back ~Gracina~ — missed you this week. Step 1: Identify the given values and the appropriate kinematic equation. The mango fruit drops, so its initial velocity is u = 0 \, m/s. The height from which it drops is the displacement, s = 10 \, m. The acceleration due to gravity is a = g = 10 \, m/s^2 (a common approximation in such problems, which aligns with the given options). We need to find the final velocity, v, just before hitting the ground. The relevant kinematic equation is: v^2 = u^2 + 2as Step 2: Substitute the known values into the equation. v^2 = (0 \, m/s)^2 + 2(10 \, m/s^2)(10 \, m) v^2 = 0 + 200 \, m^2/s^2 v^2 = 200 \, m^2/s^2 Step 3: Solve for v. Take the square root of both sides: v = sqrt(200) \, m/s Simplify the square root: v = sqrt(100 × 2) \, m/s v = 10sqrt(2) \, m/s Step 4: Compare the result with the given options. The calculated velocity is 10sqrt(2) \, m/s, which matches option A. The final answer is A. 10sqrt(2) \, ms^-1. Send me the next one 📸