Question

bicycle increase its velocity from 10km/h to 15km/h in 6s calculate its acceleration

Answer 1

u=10*5/18
=50/18
=2.77 m/s
v=15*5/18
= 75/18
=4.16 m/s
t=6 sec
from 1st equation of motion
v=u+at
4.16=2.77+a*6
4.16-2.77=6a
1.39=6a
a=1.39/6
a=0.23 m/s^2
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Answer 2

Aɴꜱᴡᴇʀ

$\huge{\sf\red{a=3.706{ms}^{2}}}$

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Gɪᴠᴇɴ

Initial velocity of bicycle = 10kmph

Final velocity of bicycle = 15kmph

Time interval = 6s

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ᴛᴏ ꜰɪɴᴅ

Acceleration of the bicycle

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Sᴛᴇᴘꜱ

We know that,

Acceleration is defined as ratio of change in velocity to the time interval.

Converstion :-

• 1kmph = 5/18mps

• 15kmph = 4.17mps

• 10kmph = 2.78mps

Then,

$\begin{lgathered} \boxed{\sf\:a=\dfrac{v-u}{t}}\\ \\ \leadsto\sf\:a=\dfrac{4.17-2.78}{6}\\ \\ \dashrightarrow\:{\sf{\pink{\large{a=3.706\:ms^{-2}}}}}\end{lgathered}$

$\large \tt \bigstar{}Additional \: information$

• Acceleration is a vector quantity.

• Accelerataion has both magnitude as well as direction.

• Acceleration can be positive, negative and zero.

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$\huge{\mathfrak{\purple{hope\; it \;helps}}}$