Published by:
CGP EDU Academic Team
Published on: September 12, 2026
NUMERIC RESPONSE
If the velocity of a body is
and the units of length and time are changed in kilometer and hour respectively, the numerical value of the velocity is
Text Solution
Verified by ExpertsThe correct answer is:
180
Step 1: Start with the given velocity of the body:
$$ v = 50 \, ms^{-1} $$
Step 2: Convert meters per second to kilometers per hour. To do this, we use the conversion factors:
1 meter = 0.001 kilometers
1 second = \frac{1}{3600} hours
Therefore, the conversion is:
$$ 50 \, ms^{-1} = 50 \times \frac{0.001 \, km}{1 \, m} \times \frac{3600 \, s}{1 \, h} $$
Step 3: Calculating the numerical value:
$$ = 50 \times 0.001 \times 3600 = 180 \, km/h $$
Step 4: The final numerical value of the velocity in kilometers per hour is 180.
Therefore, the answer is 180.
$$ v = 50 \, ms^{-1} $$
Step 2: Convert meters per second to kilometers per hour. To do this, we use the conversion factors:
1 meter = 0.001 kilometers
1 second = \frac{1}{3600} hours
Therefore, the conversion is:
$$ 50 \, ms^{-1} = 50 \times \frac{0.001 \, km}{1 \, m} \times \frac{3600 \, s}{1 \, h} $$
Step 3: Calculating the numerical value:
$$ = 50 \times 0.001 \times 3600 = 180 \, km/h $$
Step 4: The final numerical value of the velocity in kilometers per hour is 180.
Therefore, the answer is 180.
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