The minute hand completes 1.5 revolutions in 90 minutes. Distance = 1.5 × 2π × 7 = 21π cm. Displacement = 14 cm. Average speed = 21π/5400 cm s⁻¹ and average velocity = 14/5400 cm s⁻¹ downward.
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For constant velocity, the area from 20–100 s is a rectangle: 3 × 80 = 240 m. For decreasing velocity, area from 100–120 s = ½(3+2)×20 = 50 m. Total displacement = 320 m; average acceleration = (2−0)/120 = 0.0167 ...
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.
Yes, the scooter can be accelerating even when its speed remains constant. This happens when its direction of motion changes, such as while moving along a circular path. Acceleration changes velocity, not necessarily speed.
Fuel used by a vehicle depends mainly on the total distance travelled, not displacement. Fuel is consumed while the vehicle moves along its actual path. A longer distance generally requires more fuel.