A car moves towards north at a speed of 54 ,km / h for 1 ,h . Then it moves eastward with same speed

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3-2.Motion in Plane

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A car moves towards north at a speed of $54 \,km / h$ for $1 \,h$. Then it moves eastward with same speed for same duration. The average speed and velocity of car for complete journey is ..........

A$54 \,km / h , 0$

B$15 \,m / s , \frac{15}{\sqrt{2}} \,m / s$

C$0,0$

D$0, \frac{54}{\sqrt{2}} \,km / h$

Solution

(b)
Displacement $=\frac{54 \sqrt{2}}{ Km }$
Distance $=2 \times 54=108 \,Km$
Average speed $=\frac{108}{2}=54 \,Kmh ^{-1} \times \frac{5}{18}=15 \,ms ^{-1}$
Average velocity $=\frac{\text { disp. }}{\text { time }}=\frac{54 \sqrt{2}}{2} \Rightarrow 27 \sqrt{2} \times \frac{5}{18} \Rightarrow \frac{15}{\sqrt{2}} \,m / s$

Standard 11

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(AIPMT-2010)

A car moves towards north at a speed of $54 \,km / h$ for $1 \,h$. Then it moves eastward with same speed for same duration. The average speed and velocity of car for complete journey is ..........

Solution

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