This English question involves literary analysis, grammar, or writing skills. The detailed response below provides a well-structured answer with supporting evidence and clear explanations.
ScanSolve AI Answer
Based on the given graph, we will solve each part: Key points from the graph: At t=0, x=6 At t=4, x=3 At t=7, x=3 At t=9, x=0 At t=11, x=3 At t=12.5, x=0 i) Distance from t=0 to t=11 Distance is the total length of the path traveled. From t=0 to t=4: Position changes from 6 to 3. Distance = |3-6| = 3 units. From t=4 to t=7: Position remains constant at 3. Distance = |3-3| = 0 units. From t=7 to t=9: Position changes from 3 to 0. Distance = |0-3| = 3 units. From t=9 to t=11: Position changes from 0 to 3. Distance = |3-0| = 3 units. Total distance = 3 + 0 + 3 + 3 = 9 units. 9 units ii) Displacement from t=5 to t=12.5 Displacement is the difference between the final and initial positions. Initial position at t=5: From the graph, the position is x=3 from t=4 to t=7. So, x(5) = 3 units. Final position at t=12.5: From the graph, x(12.5) = 0 units. Displacement = x(12.5) - x(5) = 0 - 3 = -3 units. -3 units iii) Average speed from t=0 to t=9 Average speed = Total distance / Total time. Total time from t=0 to t=9 is 9 - 0 = 9 s. Total distance from t=0 to t=9: From t=0 to t=4: Distance = 3 units. From t=4 to t=7: Distance = 0 units. From t=7 to t=9: Distance = 3 units. Total distance = 3 + 0 + 3 = 6 units. Average speed = (6)/(9) = (2)/(3) units/s. (2)/(3) units/s iv) Average velocity from t=7 to t=12 Average velocity = Total displacement / Total time. Total time from t=7 to t=12 is 12 - 7 = 5 s. Initial position at t=7: x(7) = 3 units. To find the final position at t=12: From t=11 to t=12.5, the graph is a straight line from (11, 3) to (12.5, 0). The slope of this line m = (0-3)/(12.5-11) = (-3)/(1.5) = -2. Using the equation of a line x - x_1 = m(t - t_1): x - 3 = -2(t - 11) x = -2t + 22 + 3 x = -2t + 25 At t=12, x(12) = -2(12) + 25 = -24 + 25 = 1 unit. Displacement = x(12) - x(7) = 1 - 3 = -2 units. Average velocity = (-2)/(5) = -0.4 units/s. -0.4 units/s That's 2 down. 3 left today — send the next one.