2.Motion in Straight Line
medium

એક વ્યક્તિ સુરેખ માર્ગે $5 \;km h ^{-1}$ની ઝડપે તેના ઘરેથી $2.5\; km$ દૂર આવેલા માર્કેટમાં જાય છે. પરંતુ માર્કેટને બંધ જુએ છે, તે તરત જ $7.5 \;km h ^{-1} .$ની ઝડપે ઘરે પાછો ફરે છે તો, સમયગાળા $0$ થી $50\; min$ માટે વ્યક્તિની સરેરાશ ઝડપ કેટલી હશે ? 

A

$4$

B

$6$

C

$0$

D

$10$

Solution

Time taken to reach market $t_{1}=\frac{2.5}{5}=0.5$ hour $=30 min$

time taken to get back to home is $t_{2}=\frac {2.5}{7 .5}=.33$hour$=20 min$ 

Average velocity for $0-30$ in is $v=\frac{2.5}{5}=5 km / h$ 

Average speed for $0-30$ in is $s=\frac{2.5}{0.5}=5 km / h$ 

total time he took for travelling $t=30+20=50 min =\frac{5}{6}$ hour

When he reached back then net displacement is zero

so for $0-50$ min

Average velocity for $0-50$ in is $v=\frac{0}{\frac{5}{6}}=0 km / h$

Total distance he traveled when he arrive back is $2.5+2.5=5 km$

Average speed for $0-50$ in is $v=\frac{{5}}{\frac{5}{6}}=6 km / h$

Standard 11
Physics

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