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A vehicle accelerates from rest to a speed of 72 km/h. What is this speed in m/s?
10 m/s
15 m/s
20 m/s
25 m/s
20 m/s
To convert speed from km/h to m/s, multiply the value by 3600┬аs1000┬аmтАЛ, which simplifies to the conversion factor of 185тАЛ. For a speed of 72┬аkm/h, the calculation is 72├Ч185тАЛ=20┬аm/s.
To convert speed from km/h to m/s, multiply the value by 3600┬аs1000┬аmтАЛ, which simplifies to the conversion factor of 185тАЛ. For a speed of 72┬аkm/h, the calculation is 72├Ч185тАЛ=20┬аm/s.
Think of it as shrinking a long distance (kilometers) into a smaller one (meters) while simultaneously splitting a long time (hours) into smaller pieces (seconds), resulting in a numerically smaller value for the same rate of travel.
Remember '18 to 5': To go from big (km/h) to small (m/s), multiply by the small fraction 185тАЛ.
Speed┬аin┬аm/s=Speed┬аin┬аkm/h├Ч185тАЛ
Conversion┬аFactor=3600┬аs1000┬аmтАЛ=185тАЛ
The unit conversion relies on the fundamental definitions of SI base units. Since 1┬аkm=1000┬аm and 1┬аhour=3600┬аs, the ratio becomes 36001000тАЛ=185тАЛ. This conversion factor is a standard operational shortcut in kinematics to ensure units in physics equations are consistent for calculation.
Always ensure unit consistency before performing further kinematic calculations involving acceleration or displacement.
The factor 185тАЛ is derived directly from the relationship between SI base units of length and time.
Inverse conversion (m/s to km/h) requires multiplying by the reciprocal, 518тАЛ or 3.6.
Simplifies dimensional analysis in complex physics problems.
Reduces potential for unit-mismatch errors in Newton's Laws of Motion equations.
Converting vehicle speeds for traffic safety calculations.
Normalizing data in projectile motion studies.
The factor 3.6 is often used as a shortcut (72├╖3.6=20).
Option A (10┬аm/s) corresponds to 36┬аkm/h.
Option B (15┬аm/s) corresponds to 54┬аkm/h.
Option D (25┬аm/s) corresponds to 90┬аkm/h.
C is correct тАФ Multiplying 72 by the conversion factor 185тАЛ results in a speed of 20┬аm/s.
In competitive exams, always check the units of the options before starting the calculation to save time; if the result must be in m/s, convert early.