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.
Given, initial velocity u = 0, final velocity v = 24 m s⁻¹ and time t = 6 s. Average acceleration = (24 − 0)/6 = 4 m s⁻². Distance = ½(0 + 24) × 6 = 72 m.
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.