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
Fresh day Galaxy, let's solve. Step 1: Identify the given values. The body starts from rest and accelerates with a_1 = 2 m/s^2. It then retards to rest with a_2 = 3 m/s^2. The total time taken is t = 10 s. Step 2: Use the formula for maximum velocity. When a body starts from rest, accelerates with a_1 for time t_1 to reach maximum velocity v_max, and then retards with a_2 for time t_2 to come to rest, the maximum velocity attained is given by the formula: v_max = (a_1 a_2)/(a_1 + a_2) t Step 3: Substitute the given values into the formula. v_max = 2 m/s^2 × 3 m/s^22 m/s^2 + 3 m/s^2 × 10 s Step 4: Calculate the maximum speed. v_max = 6 m^2/s^45 m/s^2 × 10 s v_max = (6)/(5) × 10 m/s v_max = 1.2 × 10 m/s v_max = 12 m/s The maximum speed attained is 12 m/s. This corresponds to option (1). The final answer is 12 m/s. Send me the next one 📸