Question

Find the average velocity of a moving object in a particular time interval along a given direction if it moves first 10 metres in 5 seconds and next 20 metres in 9 seconds. Please do not spam or else you will be reported ​

Answer 1

Answer :-

Average velocity of the moving object is 2.14 m/s .

Explanation :-

We have :-

→ 1st distance = 10 m

→ Time taken to cover 10 m = 5 sec

→ 2nd distance = 20 m

→ Time taken to cover 20 m = 9 sec

To find :-

→ Average velocity of the object.

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Since, the object is moving along a same direction, so it's displacement will be equal to the distance covered in two successive time intervals.

Total distance covered/displacement by the object :-

= (10 + 20) m

= 30 m

Total time taken :-

= (5 + 9) s

= 14 s

Average velocity :-

= Total displacement/Total time

= 30/14

= 2.14 m/s

Answer 2

Answer:

Given :-

• A particular time interval along a direction if it moves first 10 metres in 5 seconds and next 20 meters in 9 seconds.

To Find :-

• What is the average velocity of a moving object.

Formula Used :-

$\clubsuit$ Average Velocity Formula :

$\longmapsto \sf\boxed{\bold{\pink{Average\: Velocity =\: \dfrac{Distance\: Travelled}{Total\: Time\: Taken}}}}$

Solution :-

First, we have to find the distance travelled by a moving object :

Given :

• First Distance (d₁) = 10 m
• Second Distance (d₂) = 20 m

$\implies \sf Distance\: Travelled =\: d_1 + d_2$

$\implies \sf Distance\: Travelled =\: 10 + 20$

$\implies \sf\bold{\purple{Distance\: Travelled =\: 30\: m}}$

Again, we have to find the total time taken by a moving object :

Given :

• First time (t₁) = 5 seconds
• Second time (t₂) = 9 seconds

$\implies \sf Total\: time\: taken =\: t_1 + t_2$

$\implies \sf Total\: time\: taken =\: 5 + 9$

$\implies \sf\bold{\purple{Total\: time\: taken =\: 14\: seconds}}$

Now, we have to find the average velocity :

Given :

• Distance Travelled = 30 m
• Total time taken = 14 seconds

According to the question by using the formula we get,

$\dashrightarrow \sf Average\: Velocity =\: \dfrac{\cancel{30}}{\cancel{14}}$

$\dashrightarrow \sf Average\: Velocity =\: \dfrac{\cancel{30}}{\cancel{7}}$

$\dashrightarrow \sf\bold{\red{Average\: Velocity =\: 2.14\: m/s}}$

$\therefore$ The average velocity of a moving object is 2.14 m/s.