Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • An aeroplane is moving with velocity<img alt="\mathrm{ \left(\sqrt{t}+\frac{2}{\sqrt{t}}\right)}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%20%5Cleft%28%5Csqrt%7Bt%7D&pl

An aeroplane is moving with velocity\mathrm{ \left(\sqrt{t}+\frac{2}{\sqrt{t}}\right)}, where t is time. When aeroplane at the maximum height the aeroplane will become stable. After some time rectum back to the runway with same velocity. what will be the acceleration at that particular time will be -

Option: 1

\mathrm{\frac{1}{\sqrt{t}}-\frac{1}{t^{3 / 2}}}


Option: 2

\mathrm{\frac{4}{\sqrt{t}}+\frac{1}{2 \sqrt{t}}}


Option: 3

\mathrm{\frac{1}{\sqrt{t}}+\frac{1}{t^{3 / 2}}}


Option: 4

\mathrm{\frac{1}{2 \sqrt{t}}-\frac{1}{t^{3 / 2}}}


Answers (1)

best_answer

Velocity of the aeroplane \mathrm{=\sqrt{t}+\frac{2}{\sqrt{t}}}

Acceleration of the aeroplane \mathrm{a=\frac{d}{d t}\left[\sqrt{t}+\frac{2}{\sqrt{t}}\right]}

                               \mathrm{ \begin{aligned} a & =\frac{d}{d t}\left[t^{1 / 2}+2 t^{-1 / 2}\right] \\ a & =\frac{1}{2} t^{-1 / 2}+2\left(-\frac{1}{2}\right) t^{-3 / 2} \\ \frac{d v}{d t}=a \Rightarrow & \frac{1}{2 \sqrt{t}}-\frac{1}{t^{3 / 2}} \end{aligned} }
                                                                                  Ans

Posted by

Gautam harsolia

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

NEET UG 2026 leak probe traces guess paper trail from Kerala student to Rajasthan network
anam-khan

'Replace NTA': FAIMA files plea in SC over NEET UG 2026 paper leak
anam-khan

NEET UG 2026 Paper Leak LIVE: Protests erupt across states, paper leak probe expands; re-NEET date soon

Latest Question