Question

If a has different speeds at different times we can calculate the............... speed

Answer 1

Answer:

If a has different speeds at different times we can calculate the average speed...

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Answer 2

Answer:If a has different speeds at different times we can calculate the average speed.

Explanation:

Average speed:The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.

Average speed is defined as the uniform speed which is given by the ratio of total distance travelled by an object to the total time taken by the object.

The formula of average speed can be given by,

 Average speed $(S_{avg)}$ =  Total Distance traveled/Total Time taken

Let us understand with an example-

Problem- A car travels at a speed of  50 km/hr for 2  hours and then decides to slow down to 40 km/hr for the next 2 hours. What is the average speed?

Solution:Distance travelled by the car in first two hours

                 $D_{1}$$= 50+50 = 100 km$

                Time to cover 100 km $T_{1} = 2 hours$

               Distance travelled by the car in first two hours

                 $D_{2} =40+40=80km$

                Time to cover 800 km $T_{2} = 2 hours$

∴ Total distance covered by the car $=D_{1}+D_{2} =(100+80 )km$

Total time taken by the car to cover 180 km $T=T_{1} +T_{2} =(2+2)hours$

                                                                                              $= 4hours$

∴  Average speed $(S_{avg)}$ =  Total Distance traveled/Total Time taken

                                        = $\frac{180}{4}$

                                        = 45 km/h

∴ The average speed of the car is 45 km/h.

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