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
Hey Lilian, good to see you again. a) The law of inertia states that an object at rest will stay at rest, and an object in motion will stay in motion with the same speed and in the same direction, unless acted upon by an unbalanced external force. This is also known as Newton's First Law of Motion. b) Given: Initial velocity, u = 0 m/s (starts from rest) Distance, s = 49 m Time, t = 75 s i) Determine its acceleration. Step 1: Use the kinematic equation relating distance, initial velocity, time, and acceleration. s = ut + (1)/(2)at^2 Step 2: Substitute the given values into the equation. 49 m = (0 m/s)(75 s) + (1)/(2)a(75 s)^2 49 m = 0 + (1)/(2)a(5625 s^2) 49 m = 2812.5 s^2 · a Step 3: Solve for acceleration a. a = 49 m2812.5 s^2 a ≈ 0.01742 m/s^2 The acceleration is 0.0174 m/s^2. ii) Determine its velocity after 7 seconds. Step 1: Use the kinematic equation relating final velocity, initial velocity, acceleration, and time. v = u + at Step 2: Substitute the initial velocity, calculated acceleration, and new time (t = 7 s) into the equation. v = 0 m/s + (0.01742 m/s^2)(7 s) v = 0.12194 m/s The velocity after 7 seconds is 0.122 m/s. Send me the next one 📸