Question

A car moving at a speed of 30 is stopped by by applying brakes which produces a uniform acceleration of of -1m/s². How much distance will be covered by the car before it stop ​

Answer 1

Given data : A car moving at a speed of 30 m/s is stopped by applying brakes which produces a uniform acceleration of of - 1 m/s².

To find : How much distance will be covered by the car before it stop ?

Solution : According to given data,

• initial velocity of the car, u = 30 m/s
• final velocity of the car, v = 0 {car is stopped by by applying brakes}
• uniform acceleration of the car, a = - 1 m/s²
• displacement of the car, s = ?

Now, we use kinematical equation to find displacement of the car.

⟹ v² = u² + 2 * a * s

⟹ v² - u² = 2 * a * s

⟹ 0 - (30)² = 2 * ( - 1 ) * s

⟹ - 900 = - 2s

⟹ 2s = 900

⟹ s = 900/2

⟹ s = 300 m

Answer : Distance will be covered by the car before it stop is 300 m.

{More info : conversion to km.

⟹ s = 300 m

⟹ s = 300/1000 km

⟹ s = 0.3 km}

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