Question

A bus accelerates uniformly from rest and acquires a speed of 36 kmph in 10s. The acceleration is​

Answer 1

AnnswEr :

• The acceleration is 1 m/s².

GivEn :

• Initial velocity (u) = 0 m/s [As the bus has started from rest ]

• Final velocity (v) = 36 km/h = 36 × 1000/36000[Covert into m/s] = 10 m/s

• Time(t) = 10 s

To find :

• Acceleration = ?

Solution :

As we know the formula of acceleration,

So according to it,

$\dashrightarrow\sf \ \ \ a = \dfrac{v - u}{t}$

$\dashrightarrow\sf \ \ \ a = \dfrac{10 - 0}{10}$

$\dashrightarrow\sf \ \ \ a = \dfrac{10}{10}$

$\dashrightarrow\sf \ \ \ { \underline{ \boxed{ \bf{ \purple{a = 1m {s}^{ - 2}}}}}} \ \bigstar$

Therefore, the acceleration is 1m/s².

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★ Additional Information :

• Acceleration is the rate of change of the velocity of an object or a body with respect to the time .

• In simple terms, acceleration is vehicle's capacity to gain speed.

• It is given by the formula,

$\dag \ \ { \boxed{\large{\rm{a = \dfrac{v - v_{0}}{t}}}}}$

Where,

• a = Acceleration

• v = Final velocity

• $\rm v_0$ = Starting velocity

• t = Time

• SI unit of acceleration is the metre per second square(m/s²) .

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