Question

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.


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Answer 1

Answer:

15/7

Step-by-step explanation:

avg velocity = total distance/ total time

avg velocity = ( 10+20)/(5+9) = 30/14

answer will be 15/7

Answer 2

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 :-

$\clubsuit♣ \: Average \: Velocity \: Formula :$

$\begin{gathered}\longmapsto \sf\boxed{\bold{\pink{Average\: Velocity =\: \dfrac{Distance\: Travelled}{Total\: Time\: Taken}}}}\\\end{gathered} </p><p>$

Solution :-

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

$\implies \sf Distance\: Travelled =\: d_1 + d_2 \\ \\ \implies \sf Distance\: Travelled =\: 10 + 20 \\ ⟹DistanceTravelled=30m \\ \\ again, \: we \: have \: to \: find \: the \: total \: time \: taken \: by \: a \: moving \: object \\ \\Given : \\ First \: time (t₁) = 5 seconds \\ </p><p>Second \: time (t₂) = 9 seconds \\ </p><p>\implies \sf Total\: time\: taken =\: t_1 + t_2 \\ \implies \sf Total\: time\: taken =\: 5 + 9 \\\bold{\purple{Total\: time\: taken =\: 14\: seconds}} \\ \\ Now, \: we \: have \: to \: find \: the \: average \: velocity \: : \\ \\ \\ Given : \\ Distance \: Travelled = 30 m \\ Total \: time \: taken = 14 seconds \\ \\ According \: to \: the \: question \: by \: using \: the \: formula \: we \: get \\ \\ \dashrightarrow \sf Average\: Velocity =\: \dfrac{\cancel{30}}{\cancel{14}} \\\dashrightarrow \sf\bold{\red{Average\: Velocity =\: 2.14\: m/s} } \\ \\⇢Average \: Velocity=2.14m/s \\ \\ ∴ The \: average \: velocity \: of \: a \: moving \: object \: is \: 2.14 m/s.$

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