Question

a bus starts from rest and attains a speed of 36 kilometre per hour in 10 minutes while moving with uniform acceleration .calculate the acceleration of the bus.

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Answer 1

Answer:

0.016 m/s²

Explanation:

As per the provided information in the given question, we have :

• Initial velocity of the bus (u) = 0 m/s

Here, initial velocity (u) is taken 0 because the bus has started from rest. This means his velocity is initially 0.

• Final velocity of the bus (v) = 36 km/h
• Time taken (t) = 10 minutes

We are asked to calculate the acceleration of the bus.

We'll be calculating acceleration in its SI unit. So, we need to convert the given units as per the M.K.S system. Here,

$\\ \longrightarrow \quad \sf {v = 36 \; km/h}$

• We need to convert it into m/s. In order to convert km/h to m/s, we multiply the value with 5/18.

$\\ \longrightarrow \quad \sf {v =\Bigg ( 36 \times \dfrac{5}{18} \Bigg ) \; m/s}$

$\\ \longrightarrow \quad \sf {v =\Bigg ( 2\times 5 \Bigg ) \; m/s}$

$\\ \longrightarrow \quad \bf \underline {v =10 \; m/s}$

Also,

$\\ \longrightarrow \quad \sf {Time = 10 \; minutes}$

• 1 minute = 60 seconds

$\\ \longrightarrow \quad \sf {Time =\Bigg ( 10 \times 60 \Bigg ) \; s}$

$\\ \longrightarrow \quad \bf \underline{Time =600\; s}$

Now, we have :

• Initial velocity (u) = 0 m/s
• Final velocity (v) = 10 m/s
• Time (t) = 600 s

Now, let's find out the acceleration.

By using the first equation of motion,

$\\ \longrightarrow \quad\pmb{\boxed{ \sf { v = u +at}}}$

• v denotes final velocity
• u denotes initial velocity
• a denotes acceleration
• t denotes time

Substituting values,

$\\ \longrightarrow \quad \sf { 10 = 0 + 600a}$

$\\ \longrightarrow \quad \sf { 10 -0 = 600a}$

$\\ \longrightarrow \quad \sf { 10 = 600a}$

$\\ \longrightarrow \quad \sf { \dfrac{10}{600} = a}$

$\\ \longrightarrow \quad \sf { \dfrac{1}{60} = a}$

$\\ \longrightarrow \quad \bf \underline{ 0.016 \; m/s^2= a}$

Therefore, acceleration of the bus is 0.016 m/s².

Answer 2

Answer:

0.016

Explanation:

A bus travel 36 km per 10 minutes so the spead begen fast