Question

Derive the equation: s = ut + 1/ 2 at2 by using graphical method.

Answer 1

Your answer is

In this graph consider,

OABC as a trapzeium

wkt,

area of trap= 1/2(sum of paraell sides)×h

so, area of trap is the distance covered

so area of trap = s

now paraell sides are AO and BC and h is OC

SO,

S=1/2(AO +BC)×OC

OR, (according to garph)

s=1/2(v+u)×t

(by first equation of motion)

(v=u+at)

s=1/2{u+at+u}t

s=1/2{2u/t+at2}

S=Ut+1/2At2

Answer 2

Answer:

Your answer is

In this graph consider,

OABC as a trapzeium

wkt,

area of trap= 1/2(sum of paraell sides)×h

so, area of trap is the distance covered

so area of trap = s

now paraell sides are AO and BC and h is OC

SO,

S=1/2(AO +BC)×OC

OR, (according to garph)

s=1/2(v+u)×t

(by first equation of motion)

(v=u+at)

s=1/2{u+at+u}t

s=1/2{2u/t+at2}

S=Ut+1/2At2

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