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Question Number 30331 by Tinkutara last updated on 20/Feb/18

Answered by rahul 19 last updated on 20/Feb/18

(3) 10 s.

$$\left(\mathrm{3}\right)\:\mathrm{10}\:\mathrm{s}. \\ $$

Answered by ajfour last updated on 20/Feb/18

max range = (u^2 /g)=0.8m   at  θ=45°  ⇒     u=(√8) =2(√2) m/s  Time of flight     T=((2usin 45°)/g)                 T = 0.4 s  Total time = (0.4s)×no. of jumps                 = 0.4×((20)/(0.8)) = 10s .

$${max}\:{range}\:=\:\frac{{u}^{\mathrm{2}} }{{g}}=\mathrm{0}.\mathrm{8}{m}\:\:\:{at}\:\:\theta=\mathrm{45}° \\ $$$$\Rightarrow\:\:\:\:\:{u}=\sqrt{\mathrm{8}}\:=\mathrm{2}\sqrt{\mathrm{2}}\:{m}/{s} \\ $$$${Time}\:{of}\:{flight}\:\:\:\:\:{T}=\frac{\mathrm{2}{u}\mathrm{sin}\:\mathrm{45}°}{{g}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{T}\:=\:\mathrm{0}.\mathrm{4}\:{s} \\ $$$${Total}\:{time}\:=\:\left(\mathrm{0}.\mathrm{4}{s}\right)×{no}.\:{of}\:{jumps} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\mathrm{0}.\mathrm{4}×\frac{\mathrm{20}}{\mathrm{0}.\mathrm{8}}\:=\:\mathrm{10}{s}\:. \\ $$

Commented by Tinkutara last updated on 23/Feb/18

Thank you very much Sir! I got the answer.

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