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3.2 , motion in plane — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics3.2 , motion in plane1 Mark
MCQ
A particle has initial velocity $\left( {2\hat i + 3\hat j} \right)$ and acceleration $\left( {0.3\hat i + 0.2\hat j} \right)$. The magnitude of velocity after $10\, seconds$ will be 
  • A
    $5\, units$
  • B
    $9\, units$
  • C
    $9\sqrt 2 \,unit$
  • ✓
    $5\sqrt 2 \,unit$
✓

Answer

Correct option: D.
$5\sqrt 2 \,unit$
d
$(\overrightarrow{\mathrm{v}})_{\mathrm{att}=10 \mathrm{sec}}=\overrightarrow{\mathrm{u}}+\overrightarrow{\mathrm{a}} \mathrm{t}=(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}})+(0.3 \hat{\mathrm{i}}+0.2 \hat{\mathrm{j}}) \times 10$

$=5 \hat{\mathrm{i}}+5 \hat{\mathrm{j}}$

$\therefore$ Magnitude $=\sqrt{5^{2}+5^{2}}=5 \sqrt{2} \mathrm{units}$

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