Question

An object travels 16 m in 45 s and then 6 m in 2 s, find the average speed of the object.

Answer 1

Answer:

Given :-

• An object travels 16 m in 45 seconds and then 6 m in 2 seconds.

To Find :-

• What is the average speed of the object.

Formula Used :-

$\clubsuit$ Average Speed Formula :

$\footnotesize\mapsto \sf\boxed{\bold{\pink{Average\: Speed =\: \dfrac{Total\: Distance\: Travelled}{Total\: Time\: Taken}}}}$

Solution :-

First, we have to find the total distance travelled :

Given :

• Distance (d₁) = 16 m
• Distance (d₂) = 6 m

Hence,

$\leadsto \sf Total\: Distance\: Travelled =\: d_1 + d_2$

$\leadsto \sf Total\: Distance\: Travelled =\: 16 + 6$

$\leadsto \sf\bold{\purple{Total\: Distance\: Travelled =\: 22\: m}}$

Again, we have to find the total time taken :

Given :

• Total time taken (t₁) = 45 seconds
• Total time taken (t₂) = 2 seconds

Hence,

$\leadsto \sf Total\: Time\: Taken =\: t_1 + t_2$

$\leadsto \sf Total\: Time\: Taken =\: 45 + 2$

$\leadsto \sf\bold{\purple{Total\: Time\: Taken =\: 47\: seconds}}$

Now, we have to find the average speed of the object :

Given :

• Total Distance Travelled = 22 m
• Total Time Taken = 47 seconds

According to the question by using the formula we get,

$\longrightarrow \sf Average\: Speed_{(Object)} =\: \dfrac{22}{47}$

$\longrightarrow \sf\bold{\red{Average\: Speed_{(Object)} =\: 0.46\: m/s}}$

${\small{\bold{\underline{\therefore\: The\: average\: speed\: of\: the\: object\: is\: 0.46\: m/s\: .}}}}$

Answer 2

⇝Given :

• Object travels 16m in 45s.
• Object travels 6m in 2s.

⇝To Find :

• Find the average speed.

⇝Formula used :

${\maltese{\bold{\underline{\text{Formula for Average speed}}}}}$

${\red{\bigstar \: {\orange{\underbrace{\underline{\overbrace{\overline{\sf{Average Speed = \frac{total \: distance \: covered}{total \: tim \: taken} }}}}}}}}}$

⇝Solution :

❒Here,

First case :

Distance = 16m

Time = 45s

Second case :

Distance = 6m

Time = 2s

❒Than,

${\longrightarrow{\sf{Average \: speed = \frac{total \: distance \: covered}{total \: time \: taken} }}}$

${\longrightarrow{\sf{Average \: speed = \frac{16 + 6}{45 + 2} }}}$

${\longrightarrow{\sf{Average \: speed = {\cancel\frac{22}{47} }}}}$

${\large{\purple{:{\mapsto{\underline{\boxed{\bf{0.46 m/s}}}}}}}}$

❒So,

Average Speed = 0.46m/s.

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