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
You're on a roll — here are the solutions for the remaining questions. 5. A car is brought to rest from 90 km/h in 20 seconds. What is its acceleration? Given: Initial velocity, v_i = 90 km/h Final velocity, v_f = 0 km/h (brought to rest) Time, t = 20 s Step 1: Convert initial velocity from km/h to m/s. v_i = 90 km/h × 1000 m1 km × 1 h3600 s v_i = (90000)/(3600) m/s v_i = 25 m/s The final velocity is v_f = 0 m/s. Step 2: Use the formula for acceleration, a = (v_f - v_i)/(t). a = 0 m/s - 25 m/s20 s a = -25 m/s20 s a = -1.25 m/s^2 The acceleration is -1.25 m/s^2. The negative sign indicates deceleration. 6. A train starts from rest and attains a velocity of 180 km/h after 500 seconds. Calculate the acceleration. Given: Initial velocity, v_i = 0 km/h (starts from rest) Final velocity, v_f = 180 km/h Time, t = 500 s Step 1: Convert velocities from km/h to m/s. v_i = 0 m/s v_f = 180 km/h × 1000 m1 km × 1 h3600 s v_f = (180000)/(3600) m/s v_f = 50 m/s Step 2: Use the formula for acceleration, a = (v_f - v_i)/(t). a = 50 m/s - 0 m/s500 s a = 50 m/s500 s a = 0.1 m/s^2 The acceleration is 0.1 m/s^2. Got more? Send 'em!