This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Determine the vertical positions of the floors. The height of each floor is 3 m. • Ground floor (starting point): 0 m • Second floor (classroom): 2 × 3 m = 6 m • Fourth floor: 4 × 3 m = 12 m Step 2: Calculate the total vertical distance travelled. The student's journey has two segments: • From the ground floor to the fourth floor: Distance travelled upwards = 12 m - 0 m = 12 m • From the fourth floor down to the second floor: Distance travelled downwards = 12 m - 6 m = 6 m The total vertical distance travelled is the sum of the magnitudes of these distances. Total vertical distance = 12 m + 6 m Total vertical distance = 18 m Step 3: Calculate the displacement from the starting point. Displacement is the change in position from the starting point to the final point. • Starting point: Ground floor (0 m) • Final point: Second floor (6 m) Displacement = Final position - Starting position Displacement = 6 m - 0 m Displacement = 6 m The displacement is 6 m upwards from the starting point. (i) The total vertical distance travelled is 18 m. (ii) Their displacement from the starting point is 6 m. That's 2 down. 3 left today — send the next one.