A bus of starting from rest moves with uniforn acceleration of 0.1m/s2 for 2min find
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Initial velocity ( u ) = 0
Acceleration ( a ) = 0.1 m/s²
Time ( t ) = 2 min = 2 × 60 s = 120 s
Final velocity ( v ) = ?
Distance traveled ( s ) = ?
Using equation of Motion,
⇒ v = u + at
⇒ v = 0 + ( 0.1 m/s² ) × 120 s
⇒ v = 120 ms / 10 s²
⇒ v = 12 m/s.
Since the bus is moving along a straight line in a certain direction,so speed = velocity.
Hence , speed acquired = 12 m/s.
Now,
⇒ s = ut + ( at² )/2
⇒ s = ( 0 × 120 s ) + { ( 0.1 m/s² ) ( 120 s )² ) / 2
⇒ s = 0 + { ( 1 m / 10 s² ) ( 120 s × 120 s ) } ÷ 2
⇒ s = ( 12 × 120 m ) ÷ 2
⇒ s = 720 m.
Hence , speed acquired = 12 m/s and distance traveled = 720 m.
Acceleration ( a ) = 0.1 m/s²
Time ( t ) = 2 min = 2 × 60 s = 120 s
Final velocity ( v ) = ?
Distance traveled ( s ) = ?
Using equation of Motion,
⇒ v = u + at
⇒ v = 0 + ( 0.1 m/s² ) × 120 s
⇒ v = 120 ms / 10 s²
⇒ v = 12 m/s.
Since the bus is moving along a straight line in a certain direction,so speed = velocity.
Hence , speed acquired = 12 m/s.
Now,
⇒ s = ut + ( at² )/2
⇒ s = ( 0 × 120 s ) + { ( 0.1 m/s² ) ( 120 s )² ) / 2
⇒ s = 0 + { ( 1 m / 10 s² ) ( 120 s × 120 s ) } ÷ 2
⇒ s = ( 12 × 120 m ) ÷ 2
⇒ s = 720 m.
Hence , speed acquired = 12 m/s and distance traveled = 720 m.
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Answered by
33
✿ Here, u= 0, a= 0.1 m s^-2, t= 2 min =120s
a) v= u+ at
= 0 +0.1 ×120 = 12 m/s .
b) s= ut + 1/2 at²
= 0 × 120 + 1/2 × 0.1 × (120)² = 720 m.
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