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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
Balls $A$ and $B$ are thrown from two points lying on the same horizontal plane separated by a distance $120\,m$. Which of the following statement$(s)$ is/are correct.
  • A
    The two balls can never meet
  • B
    The balls can meet, if the ball $B$ is thrown $1\,s$ later
  • ✓
    The two balls meet at a height of $45\,m$
  • D
    None of the above
✓

Answer

Correct option: C.
The two balls meet at a height of $45\,m$
c
(c)

Two balls will meet if,

$\left(50 \cos 37^{\circ}\right) t_A=120 \text { or } t_A=3\,s$

Vertical component of $A$ is also $50 \sin 37^{\circ}$ or $30\,m / s$, so they will meet if thrown simultaneously.

$h_A=h_B$

$=30 \times 3-\frac{1}{2} \times 10 \times(3)^2$

$=45\,m$

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