a bike travels 30km at a uniform speed of 40 km /h and next 30 km at uniform speed of 30km/h find the average speed
Answers
Answer:
The vertical axis represents the acceleration of the object.
For example, if you read the value of the graph shown below at a particular time, you will get the acceleration of the object in meters per second squared for that moment.
Try sliding the dot horizontally on the graph below to choose different times, and see how the acceleration—abbreviated Acc—changes.
Explanation:
Answer :
- The average speed of the bike = 34.29 km h¯¹
Given :
- A bike travels 30 km at a uniform speed of 40 km /h¯¹
- Next 30 km at uniform speed of 30km/h ¯¹
To find :
- The average speed of the bike = ?
Step-by-step explanation :
In the first part, the bike travels a distance of 30 km at a speed of 50 km per hour.
Given,
Speed = 40 km h ¯¹
Distance = 30 km
Time = ?
Speed = Distance travelled / Time taken
∴ Time = Distance /Speed
Time, t₁ = 30/40 hours
= 3/4 hours
For the second part , the bike travels a distance of 30 km at a speed of 30 km h¯¹,
Given,
Speed = 30 km h ¯¹
Distance = 30 km
Time = ?
Time, t₂ = 30/30
= 1 hour
We cn get the total time taken by the bike for the whole journey by adding the above two values t₁ and t₂ , we get
Total time taken = 3/4 + 1
= 3 + 4/4
= 7/4 hours
Total distance travelled = 30 + 30
= 60 km
Average Speed = Total distance traveled/Total time taken
Substituting the values in above formula, we get
= 60 × 4 / 7
= 240/7
= 34.29
Thus, the average speed of the bike = 34. 29 km h ¯¹.