2.Motion in Straight Line
medium

એક પદાર્થને નીચે તરફ ફેંકતાં $2\, sec$ માં કાપેલ અંતર $S$ એ તેની પછીની $sec$ માં કાપેલ અંતર જેટલું છે.તો $s= ............m$       ( $\,\,g = 10\,m/{s^2}$)

A

$30$

B

$10$

C

$60$

D

$20$

Solution

(a) If $u$ is the initial velocity then distance covered by it in $2$ sec

$S = ut + \frac{1}{2}a{t^2} = u \times 2 + \frac{1}{2} \times 10 \times 4 = 2u + 20$ … (i)

Now distance covered by it in $3^{rd}$ sec

${S_{{3^{rd}}}} = u + \frac{g}{2}\left( {2 \times 3 – 1} \right)10 = u + 25$ …(ii)

From(i) and (ii), $2u + 20 = u + 25 \Rightarrow u = 5$

$\therefore S = 2 \times 5 + 20 = 30\;m$

Standard 11
Physics

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