Question

Solve This; Mods And Stars!..

$\huge \tt \color{pink}Question:$


A bus starting from rest moves with a uniform acceleration of 0.1 m s‐² for 2 minutes.
Find
(a) the speed acquired,
(b) the distance travelled..​

Answer 1

Answer

• Speed of the car = 12m/s.
• Distance travelled by the car = 720 meters.

Given

• Acceleration of the car = 0.1 m/s².
• Time taken = 2 minutes or 120 seconds.
• Initial velocity = 0 m/s.

To Find

• The speed acquired by the car.
• The distance travelled by the car.

Step By Step Explanation

• By using first equation of motion.
• v = u + at

By substituting the values :

$\longmapsto\tt v = 0 + 0.1 \times 120 \\ \\ \longmapsto\tt v = 0.1 \times 120 \\ \\\longmapsto\bf{\green{ v = 12m/s}}$

Therefore, speed of the car = 12 m/s.

• By using third equation of motion.
• v² - u² = 2as

By substituting the values :

$\longmapsto\tt {(12)}^{2} - {(0)}^{2} = 2 \times 0.1 \times s \\ \\\longmapsto\tt 144 = 0.2s \\ \\ \longmapsto\tt \cfrac{\cancel{144}}{\cancel{0.2}} = s \\ \\\longmapsto\tt{ \pink{ 720 \: meters = s}}$

Therefore, distance travelled by the car = 720 meters.

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Equation of motion

There are mainly three equations of motion. They are as follows -

• v = u + at
• s = ut + ½at²
• v² - u² = 2as

Where, u = initial velocity , v = final velocity, t = time, a = acceleration, and s = distance travelled.

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Answer 2

$\huge\underline{\underline{\color{red}{\bf\pmb{Answer}}}}$

Given:-

$a \: = \: 0.1m/s {}^{2}$

$t \: = \: 2min \: = \: 120s$

(A) For the speed acquired:-

$v \: = \: u \: + \: at \: = \: 0 \: + \: 0.1 \: × \: 120$

$⟹ \: v \: = \: 12m/s$

(B) For the distance travelled:-

$s \: = \: ut \: + \: \frac{1}{2} at {}^{2}$

$⟹ \: s \: = \: 0 \: + \: \frac{1}{2} ×0.1×(120) {}^{2}$

$⟹ \: s \: = \: 720m$

${\huge{\textbf{\textsf{{\color{navy}{❤Tha}}{\purple{nk}}{\pink{You❤}}}}}}$

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