A train covers half of its journey with a speed of 30m/per second and other half of journey with speed of 40m/ per second . Calculate average speed for entire journey
Answers
Given :
▪ A train covers first half of the total distance at a speed of 30m/s and second half of the total distance at a speed of 40m/s.
To Find :
▪ Average speed of train fot entire journey.
Concept :
☞ Average speed is defined as the ratio of total distance travelled to the total time taken.
☞ It is a scalar quantity.
☞ It has only magnitude.
☞ SI unit : m/s
✴ When particle covers first half of the total distance at a speed of V1 and final half of the total distance at a speed of V2, then average speed of particle is given by
❍ Vav = 2V1V2/(V1+V2)
Calculation :
→ Vav = 2V1V2/(V1+V2)
→ Vav = 2×30×40/(30+40)
→ Vav = 2400/70
→ Vav = 34.28m/s
Answer:
YOUR QUESTION :
A train covers half of its journey with a speed of 30m/per second and other half of journey with speed of 40m/ per second . Calculate average speed for entire journey.
YOUR ANSWER :
Given :
- A train covers half of its journey with a speed of 30m/s and other half of journey with speed of 40m/s.
To Find :
- Average speed of train fot entire journey.
Concept :
✔ Average speed is defined as the ratio of total distance travelled to the total time taken.
✔ Vav = 2V1V2/(V1+V2)
Calculation :
=> Vav = 2V1V2/(V1+V2)
=> Vav = 2×30×40/(30+40)
=> Vav = 2400/70
=> Vav = 34.28m/s.
ANSWER : 34.28m/s.