Question

suppose you walk across a room of length 9m with a velocty of one and half kilometre/hour. Express this velocity in unit of m/s and final the time you will take to move across the room ?

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Answer 1

Explanation:

length = 9m

velocity = 3/2 Km / hr = 3/2 x 5/18 m/s = 5/12m/s

time = length / velocity = (9 x 12)/ 5 = 108/5 = 21.6s

Answer 2

Question:-

Suppose you walk across a room of length 9m with a velocty of one and half kilometre/hour. Express this velocity in unit of m/s and final the time you will take to move across the room ?

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Solution :-

Given Information :-

• Displacement = 9 m
• Velocity = $\sf1 \frac{1}{2} = \frac{3}{2}$

To Find :-

• Express the velocity in m/sFinal Time Taken to move across the room

Calculation :-

• Solution 1 :- Express the velocity in m/s

Whenever we convert km/hr into m/s, We multiply the km/hr unit with $\bf \frac{5}{18}$

$\sf : \implies \frac{3}{2} \times \frac{5}{18}$

Cancelling 3 in numerator and 18 in denominator, We get,

$\sf : \implies \frac{ \cancel{3}}{2} \times \frac{5}{ \cancel{18} \: \: \tiny{6}}$

$\sf : \implies \frac{5}{2 \times 6}$

$\sf: \implies \red{\frac{5}{12} }$

Converting this fraction into decimal by division, We get,

$\sf: \implies \red{0.4166\: m/s}$

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• Solution 2 :- Final Time Taken to move across the room

Formula Used :-

Velocity = Displacement × Time Taken

∵ We have Displacement = 9 m

And,

∵ We have calculated Velocity = 0.4166 m/s

⇒ We will make 'Time Taken' as the subject of formula and we will substitute the given and Calculated values in the formula,

∴ Velocity = Displacement × Time Taken

⇒ Time Taken = $\bf \frac{displacement}{velocity}$

Substituting the values, We get,

⇒ Time Taken = $\sf \frac{9}{0.4166}$

Dividing, We get,

∴ Time Taken = 21.603 sec

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Final Answers :-

• When the velocity is converted into m/s the velocity is $\sf \red{0.4166\: m/s}$.

• The Time Taken to move across the room is $\sf \red{21.603\:sec}$.

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