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
Here is the derivation of the kinematic equation: Step 1: Start with the expression for displacement s derived from average velocity and time. s = ((v+u)/(2)) × ((v-u)/(a)) Step 2: Combine the terms into a single fraction. s = ((v+u)(v-u))/(2a) Step 3: Expand the numerator using the difference of squares formula, (x+y)(x-y) = x^2 - y^2. s = (v^2 - uv + uv - u^2)/(2a) Step 4: Simplify the numerator by canceling out the uv terms. s = (v^2 - u^2)/(2a) Step 5: Multiply both sides by 2a to isolate v^2 - u^2. 2as = v^2 - u^2 Step 6: Rearrange the equation to solve for v^2. v^2 = u^2 + 2as This is the final kinematic equation. The student's work is ✅ Correct. Send me the next one 📸