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

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2.Motion in Straight Line

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A particle moving with 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

Distance travelled in $4\, sec$

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

Distance travelled in total $8\, sec$

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

After solving $(i)$ and $(ii),$ we get $u =1$ $\mathrm{m} / \mathrm{s}$.

Standard 11

Physics

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