How far will a vehicle travel if it accelerates at 1.8ms-2 from an initial speed of 10m/s to a final speed of 20m/s?
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☀️ Answer : The distance travelled by vehicle is 83.3m
Given that : Initial velocity is 10m/s
Final velocity is 20m/s
Acceleration is 1.8m/s²
Need to find : Distance travelled
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❍ To calculate the distance we must know the third equation of motion ::
⍟ Third equation of motion : v² = u² + 2as
Where,
- v denotes final velocity
- u denotes initial velocity
- a denotes acceleration
- s denotes distance travelled
T H E R E F O R E,
- ~By putting the values in third equation of motion we can find the distance travelled by vehicle.
↠ v² = u² + 2as
↠ 20² = 10² + [ 2 × 1.8 × s ]
↠ 400 = 100 + [ 3.6 × s ]
↠ 400 = 100 + [ 3.6s ]
↠ 400 = 100 + 3.6s
↠ 3.6s = 400 - 100
↠ 3.6s = 300
↠ s = 300/3.6
↠ s = 83.3m
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- Henceforth, the distance travelled by vehicle is 83.3m
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