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
Step 1: Determine the acceleration of the body down the inclined plane. For a body sliding down a smooth inclined plane, the acceleration a is given by the component of gravity along the incline. a = g Given: Acceleration due to gravity, g = 9.8 m/s^2 Angle of inclination, = 30^ Substitute the values into the acceleration formula: a = (9.8 m/s^2) (30^) a = (9.8 m/s^2) (0.5) a = 4.9 m/s^2 Step 2: Use the kinematic equation to find the distance covered. The body starts from rest, so the initial velocity u = 0. The kinematic equation for distance s is: s = ut + (1)/(2)at^2 Substitute u = 0 and the calculated acceleration a = 4.9 m/s^2: s = (0)t + (1)/(2)(4.9 m/s^2)t^2 s = (1)/(2)(4.9 m/s^2)t^2 s = 2.45 t^2 m The distance covered after t seconds is 2.45 t^2 m. Send me the next one 📸