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Question Number 167730 by Tawa11 last updated on 23/Mar/22

Commented by Tawa11 last updated on 24/Mar/22

Engineering course sir. Computer.

$$\mathrm{Engineering}\:\mathrm{course}\:\mathrm{sir}.\:\mathrm{Computer}. \\ $$

Commented by ajfour last updated on 24/Mar/22

what course do u pursue?

$${what}\:{course}\:{do}\:{u}\:{pursue}? \\ $$

Answered by malwan last updated on 24/Mar/22

The time is 6.47s

$${The}\:{time}\:{is}\:\mathrm{6}.\mathrm{47}{s} \\ $$

Commented by Tawa11 last updated on 24/Mar/22

Please workings sir.

$$\mathrm{Please}\:\mathrm{workings}\:\mathrm{sir}. \\ $$

Commented by malwan last updated on 24/Mar/22

y=u(sinθ)t−((1/2))gt^2   ⇒−80=40(sin30)t−(1/2)×10t^2   ⇒t^2 −4t−16=0  ∴ t=((+ 4 +(√((−4)^2 −4×1×(−16))))/(2×1))  =(2+4(√5))s ≈6.47 s

$${y}={u}\left({sin}\theta\right){t}−\left(\frac{\mathrm{1}}{\mathrm{2}}\right){gt}^{\mathrm{2}} \\ $$$$\Rightarrow−\mathrm{80}=\mathrm{40}\left({sin}\mathrm{30}\right){t}−\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{10}{t}^{\mathrm{2}} \\ $$$$\Rightarrow{t}^{\mathrm{2}} −\mathrm{4}{t}−\mathrm{16}=\mathrm{0} \\ $$$$\therefore\:{t}=\frac{+\:\mathrm{4}\:+\sqrt{\left(−\mathrm{4}\right)^{\mathrm{2}} −\mathrm{4}×\mathrm{1}×\left(−\mathrm{16}\right)}}{\mathrm{2}×\mathrm{1}} \\ $$$$=\left(\mathrm{2}+\mathrm{4}\sqrt{\mathrm{5}}\right){s}\:\approx\mathrm{6}.\mathrm{47}\:{s} \\ $$

Commented by Tawa11 last updated on 24/Mar/22

God bless you sir.

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$

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