SATHEE: Kinematics Question 642

Kinematics Question 642

Question: Two particles are projected simultaneously from the level ground . They may collide after a time:

Options:

A) $\frac{x \sin {θ_{2}}_{}}{u_{1}}$

B) $\frac{x cos {θ_{2}}_{}}{u_{2}}$

C) $\frac{x \sin {θ_{2}}_{}}{u_{1} \sin (θ_{2} - θ_{1})}$

D) $\frac{x \sin {θ_{1}}_{}}{u_{2} \sin (θ_{2} - θ_{1})}$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $x + u_{2} \cos θ_{2} t = u_{1} \cos θ_{1} t$

$∴ t = \frac{x}{u_{1} \cos θ_{1} - u_{2} \cos θ_{2}}$ -(i)

Also $u_{1} \sin θ_{1} = u_{2} \sin θ_{2}$ -(ii)

After solving above equations, we get

t= $\frac{x \sin θ_{2}}{u_{1} \sin (θ_{2} - θ_{1})}$

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Kinematics Question 642

Question: Two particles are projected simultaneously from the level ground . They may collide after a time:

Options:

Answer:

Solution:

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