# Four quantities x,u,v,t are related by the formula s=1/2(u+v)tfind the values of v given that u=10,s=15 and t=3

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v = ?

s = 1/2(u+v)t

15 = 1/2(10+v)3

15 = 1/2(30+3v)

15 × 2 = 30 + 3v

30 = 30 + 3v

3v = 0

v = 0 .

Given formula : s= 1/2(u + v)t,

values of the quantities are given as u = 10, s=15, t = 3,

substituting the values in the formula,

15 = 1/2(10 + v)3

⇒15÷1/2 = (10 + v)3

⇒15*2/1 = (10 +v)3

⇒30 = (10 + v)3

⇒30/3 = 10 + v

⇒10 = 10+v

⇒10 - 10 = v

∴v = 0