Question

Derive Graphically,

$\huge{\red{\sf s_{n} = u + \dfrac{1}{2} a(2n-1)}}$

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Answer 1

Answer:

TO DERIVE :

$\huge{\red{\sf s_{n} = u + \dfrac{1}{2} a(2n-1)}}$

SOLUTION :

• The distance travelled is the area of the shaded portion.

$\hookrightarrow$ area of CDFG + area of BCDE

→ Area of CDFG + area of ADE - Area of ACB

→ Sn = u + [ 1/2 a(n)² - 1/2 a(n - 1)² ]

→ Sn = u + 1/2 a(2n - 1)

$\boxed{Sn \: = \: u \: + \: 1/2 a(2n-1)}$

Answer 2

Answer:

$distance \: travelled \: = s = ut + \frac{1}{2} \: at {}^{2}$