Question

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A bus starts from rest and attains speed of 36 km/hr in 10 minutes while moving with uniform
acceleration. What will be the acceleration of bus?
a.) 0.21 m/s2
b.) 0.017 m/s2
c.) 0.45 m/s2
d.) 0.123 m/s2​

Answer 1

Answer:

Its Acceleration will be 0.06 m/s

Refer the Attachment

Answer 2

Corrected Question :-

• A bus starts from rest and attains speed of 36 km/hr in 10 minutes while moving with uniform acceleration. What will be the acceleration of bus ?

a.) 0.21 m/s²

b.) 0.016 m/s²

c.) 0.45 m/s²

d.) 0.123 m/s²

Answer :

• Acceleration of the bus is 0.016 m/s².
• Option b.) 0.016 m/s² is correct ✓

Given :-

• A bus starts from rest and attains speed of 36 km/hr in 10 minutes while moving with uniform acceleration.

To Find :-

• What will be the acceleration of bus ?

Solution :-

• Let the acceleration of bus be x.

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,

• 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.

➻ v = (36 × 5/18)m/s

➻ v = (2 × 5)m/s

➻ v = 10 m/s

Also,

➻ Time = 10 minutes

• 1 minute = 60 seconds

➻ Time = (10 × 60)s

➻ 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,

We know that,

• Using formula,

• v = u + at

We have,

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

• Putting all values in formula,

➻ 10 = 0 + 600a

➻ 10 - 0 = 600a

➻ 10 = 600a

➻ 10/600 = a

➻ 1/60 = a

➻ a = 0.016 m/s²

• Hence, acceleration of the bus is 0.016 m/s².

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