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PART - 1 CH - 3 Motion in a Plane — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsPART - 1 CH - 3 Motion in a Plane1 Mark
MCQ
The components of velocity of a particle are as follows:
$
v_x=(5 t) m / s, v_y=(7 t) m / s
$
The value of acceleration of the particle is :
  • A
    12
  • ✓
    $\sqrt{74}$
  • C
    2
  • D
    zero
✓

Answer

Correct option: B.
$\sqrt{74}$
(B) Acceleration $\vec{a}=$
$
\begin{array}{l}
=\sqrt{\left(\frac{d v_x}{d t}\right)^2+\left(\frac{d v_y}{d t}\right)^2} \\
=\sqrt{(5)^2+(7)^2}=\sqrt{74}
\end{array}
$
Hence, the correct option is (B).

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