a car travelling with velocity 108km/h is brought to rest .And its acceleration is 3m/s² than calculate The distance covered by it
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Answer:
- Distance covered by Car is 150 metres.
Explanation:
Given,
- initial velocity of Car, u = 108 km/h = 108 × (5/18) = 30 m/s
- final velocity of Car, v = 0 [ since, it is brought to rest ]
- Acceleration of Car, a = -3 m/s² [ negative acceleration because car is decelerating ]
To find,
- Distance covered by it before coming to rest while decelerating, s = ?
So,
Using Third equation of motion
→ 2 a s = v² - u²
→ 2 ( -3 ) s = ( 0 )² - ( 30 )²
→ - 6 s = - 900
→ s = 900 / 6
→ s = 150 m
therefore,
- Car covered a distance of 150 metres before coming to rest during decelerating.
Know Three equation of motion:
- First equation of motion
v = u + a t
- Second equation of motion
s = u t + 1/2 a t²
- Third equation of motion
2 a s = v² - u²
[ where v is final velocity, u is initial velocity, t is time taken, a is acceleration, s is distance covered by a body ]
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