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3-2.Motion in Plane
medium
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
$2 \sqrt {11}\, m/s$
D
$11\sqrt 2 \,m/s$
Solution
$\overrightarrow{\mathrm{v}}=\overrightarrow{\mathrm{u}}+\overrightarrow{\mathrm{a} t}$
$\overrightarrow{\mathrm{v}}=(\hat{\mathrm{i}}+\hat{\mathrm{j}})+(\hat{\mathrm{i}}+\hat{\mathrm{j}}) \cdot 10$
$\overrightarrow{\mathrm{v}}=11 \hat{\mathrm{i}}+11 \hat{\mathrm{j}}$
$|\overrightarrow{\mathrm{v}}|=11 \sqrt{2} \mathrm{m} / \mathrm{s}$
Standard 11
Physics
