Q5. Show by means of graphical method that :
2
s = ut + 1/2 at
where the symbols have their usual meaning.
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Refers to the attachments :
- s = Distance
- u = Initial velocity
- v = Final velocity
- a = Acceleration
- t = time taken
Let the body travels a distance s in time t .
★ Distance travelled by object = Area of trapezium ABDO
= Area of rectangle ACDO + Area of ∆ ABC
Area of triangle ABC = 1/2 × AC × BC
= 1/2 × t × v - u
= 1/2 × t × at [ a = v-u /t ⇒ v-u = at ]
= 1/2 at²
Area of rectangle ABDO = AO × OD
= u × t
= ut
Now,
Dist. travelled = Area of rectangle ACDO + Area of ∆ ABC
s = ut + 1/2 at²
Attachments:
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