The bus speed is 10 m s⁻¹. During reaction, it travels 5 m. Braking distance = 10²/(2 × 2.5) = 20 m. Total stopping distance = 25 m, less than 30 m. Yes, it stops safely.
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During acceleration, distance = ½ × 5 × 20 = 50 m. At constant speed, distance = 20 × 10 = 200 m. During braking, distance = ½ × 6 × 20 = 60 m. Total distance = 310 m.
Initial speed u = 54 km h⁻¹, final speed v = 36 km h⁻¹, and time = 36 s = 0.01 h. Average speed = 45 km h⁻¹. Distance = 45 × 0.01 = 0.45 km = 450 m.
The correct options are (i) and (ii). Both objects have the same initial and final positions, so their average velocities are equal. They also cover the same total distance in 10 seconds, making their average speeds equal.
No, objects A and B do not have equal velocity. On a position-time graph, velocity is represented by the slope of the graph. Their slopes are different, so their velocities are never equal.