Average velocity of a car for the whole jounery
Answers
Answer:
what is the displacement and time?
Answer:
The average velocity of the car in whole journey is 18 km/hr.
Explanation:
Given that,
Velocity v_{1} = 10\ km/hrv1=10 km/hr
Velocity v_{2} =20\ km/hrv2=20 km/hr
Velocity v_{3} = 60\ km/hrv3=60 km/hr
Let us considered the total distance is 3x and total time is T.
Using formula,
Velocity = distance/time
The time for first journey
t_{1}= \dfrac{3x}{3\times10}t1=3×103x
t_{1}= \dfrac{x}{10}t1=10x
The time for second journey
t_{2}= \dfrac{3x}{3\times20}t2=3×203x
t_{2}= \dfrac{x}{20}t2=20x
The time for third journey
t_{3}= \dfrac{3x}{3\times60}t3=3×603x
t_{3}= \dfrac{x}{60}t3=60x
Average velocity = total distance / total time
v = \dfrac{D}{T}v=TD
Put the value of total distance and total time
v = \dfrac{3x}{\dfrac{x}{10}+\dfrac{x}{20}+\dfrac{x}{60}}v=10x+20x+60x3x
v = \dfrac{3x\times60}{10x}v=10x3x×60
v = 18\ km/hrv=18 km/hr
Hence, The average velocity of the car in whole journey is 18 km/h.
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