Question

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?

Answer 1

☀️ 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