SATHEE: Kinematics Question 631

Kinematics Question 631

Question: A cricket ball thrown across a field is at heights $h_{1},$ and $h_{2}$ from point of projection at times $t_{1}$ and $t_{2}$ respectively after the throw. The ball is caught by a fielder at the same height as that of projection. The time of flight of the ball in this journey it’s

Options:

A) $\frac{h_{1} t_{2}^{2} - h_{2} t_{1}^{2}}{h_{1} t_{2} - h_{2} t_{1}}$

B) $\frac{h_{1} t_{2}^{2} + h_{2} t_{1}^{2}}{h_{1} t_{2} + h_{2} t_{1}}$

C) $\frac{h_{1} t_{2}}{h_{1} t_{2} - h_{2} t_{1}}$

D) None

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $h_{1} = u sin θ t_{1} + \frac{1}{2} {gt}_{1}^{2};$

$h_{2} = u sin θ t_{2} + \frac{1}{2} {gt}_{2}^{2}$

$So, \frac{t_{1}}{t_{2}} = \frac{h_{1} + \frac{1}{2} {gt}_{1}^{2}}{h_{2} + \frac{1}{2} {gt}_{2}^{2}}$

$\Rightarrow h_{1} t_{2} - h_{2} t_{1} = \frac{1}{2} g (t_{1} t_{2}^{2} - t_{1}^{2} t_{2}^{})$

Time of flight $= 2u sin θ$

$g= \frac{h_{1} t_{2}^{2} - h_{2} t_{1}^{2}}{h_{1} t_{2} - h_{2} t_{1}}$ [Use above eqn. to simplify]

Kinematics Question 631

Question: A cricket ball thrown across a field is at heights $h_{1},$ and $h_{2}$ from point of projection at times $t_{1}$ and $t_{2}$ respectively after the throw. The ball is caught by a fielder at the same height as that of projection. The time of flight of the ball in this journey it’s

Options:

Answer:

Solution:

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NCERT Books & Solutions

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Kinematics Question 631

Question: A cricket ball thrown across a field is at heights h1, and h2 from point of projection at times t1 and t2 respectively after the throw. The ball is caught by a fielder at the same height as that of projection. The time of flight of the ball in this journey it’s

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: A cricket ball thrown across a field is at heights $h_{1},$ and $h_{2}$ from point of projection at times $t_{1}$ and $t_{2}$ respectively after the throw. The ball is caught by a fielder at the same height as that of projection. The time of flight of the ball in this journey it’s