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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 of $\left( {\widehat i + \widehat j} \right)\, m/s$ and an acceleration of $\left( {\widehat i + \widehat j} \right)\, m/s^2$. Its speed after $10s$ will be :-
  • A
    $11\, m/s$
  • B
    $22\, m/s$
  • C
    $2 \sqrt {11}\, m/s$
  • ✓
    $11\sqrt 2 \,m/s$
✓

Answer

Correct option: D.
$11\sqrt 2 \,m/s$
d
$\overrightarrow{\mathrm{v}}=\overrightarrow{\mathrm{u}}+\overrightarrow{\mathrm{a} t}$

$\overrightarrow{\mathrm{v}}=(\hat{\mathrm{i}}+\hat{\mathrm{j}})+(\hat{\mathrm{i}}+\hat{\mathrm{j}}) \cdot 10$

$\overrightarrow{\mathrm{v}}=11 \hat{\mathrm{i}}+11 \hat{\mathrm{j}}$

$|\overrightarrow{\mathrm{v}}|=11 \sqrt{2} \mathrm{m} / \mathrm{s}$

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