A car has an initial velocity of 12 m/s and is brought to rest over a distance of 45 m. The acceleration of the car is

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  1. +1·6 m/s²
  2. +3·2 m/s²
  3. -1·6 m/s²
  4. -0·8 m/s²

Answer (Detailed Solution Below)

Option 3 : -1·6 m/s²
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Detailed Solution

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Calculation:

Given:

Initial velocity, u = 12 m/s

Final velocity, v = 0 m/s (since the car comes to rest)

Distance, s = 45 m

Using the formula:

v2 = u2 + 2as

⇒ (0)2 = (12)2 + 2 × a × 45

⇒ 0 = 144 + 90a

⇒ 90a = -144

⇒ a = -1.6 m/s2

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