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# 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. - CBSE Class 9 - Science

ConceptEquations of Motion by Graphical Method - Equation for Position-time Relation

#### 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.

#### Solution

(a) Initial speed of the bus, u = 0 (since the bus is initially at rest)

Acceleration, a = 0.1 m/s2

Time taken, t = 2 minutes = 120 s

Let v be the final speed acquired by the bus.

therefore a =(v-u)/t

0.1 =(v-0)/120

v = 12 m/s

(b) According to the third equation of motion:

v2 − u2 = 2as

Where, s is the distance covered by the bus

(12)2 − (0)2 = 2(0.1) s

= 720 m

Speed acquired by the bus is 12 m/s.

Distance travelled by the bus is 720 m.

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#### APPEARS IN

Solution 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. Concept: Equations of Motion by Graphical Method - Equation for Position-time Relation.
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