A particle moving with a uniform acceleration travels 24 ,m and 64, m in first two consecutive inter

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2.Motion in Straight Line

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A particle moving with a uniform acceleration travels $24 \,m$ and $64\, m$ in the first two consecutive intervals of $4 \,sec$ each. Its initial velocity is............$m/sec$

A

$1$

B

$10$

C

$5$

D

$2$

Solution

(a) Distance travelled in $4 \,sec$

$24 = 4u + \frac{1}{2}a \times 16$…(i)

Distance travelled in total $8$ sec

$88 = 8u + \frac{1}{2}a \times 64$…(ii)

After solving $(i)$ and $(ii)$, we get

$u = 1$m/s.

Standard 11

Physics

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