SATHEE: Kinematics Question 614

Kinematics Question 614

Question: Two pegs A and B thrown with speeds in the ratio 1:3 acquired the same heights. If a is thrown at an angle of $30^{\circ}$ with the horizontal, the angle of projection of B will be

Options:

A) $0^{\circ}$

B) $s i n^{- 1} (\frac{1}{8})$

C) $s i n^{- 1} (\frac{1}{6})$

D) $s i n^{- 1} (\frac{1}{2})$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] max heigth, $H_{A} = \frac{u_{A^{2}} \sin^{2} 30^{\circ}}{2 g};$

$H_{B} = \frac{u_{B}^{2} \sin^{2} θ}{2 g}$

As we know , $H_{A} = H_{B}$

$\frac{u_{A^{2}} \sin^{2} 30^{\circ}}{2 g} = \frac{u_{B}^{2} \sin^{2} θ}{2 g}$

$\Rightarrow \frac{\sin^{2}}{θ} \sin^{2} 30^{\circ} = {\frac{u_{A}^{2}}{u}}_{B^{2}}$

$\sin^{2} θ = {(\frac{u_{A}}{u_{B}})}^{2} \sin^{2} 30^{\circ}$

$\Rightarrow \sin^{2} θ = \frac{1}{36}$

$\sin θ = \frac{1}{6} \Rightarrow θ = \sin^{- 1} (\frac{1}{6})$

Kinematics Question 614

Question: Two pegs A and B thrown with speeds in the ratio 1:3 acquired the same heights. If a is thrown at an angle of $30^{\circ}$ with the horizontal, the angle of projection of B will be

Options:

Answer:

Solution:

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Kinematics Question 614

Question: Two pegs A and B thrown with speeds in the ratio 1:3 acquired the same heights. If a is thrown at an angle of 30∘ with the horizontal, the angle of projection of B will be

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: Two pegs A and B thrown with speeds in the ratio 1:3 acquired the same heights. If a is thrown at an angle of $30^{\circ}$ with the horizontal, the angle of projection of B will be