SATHEE: Kinematics Question 623

Kinematics Question 623

Question: A projectile is thrown in the upward direction making an angle of $60^{\circ}$ with the horizontal direction with a velocity of 147 $m s^{- 1}$ . Then the time after Which is inclination with the horizontal it’s $45^{\circ}$ , it’s

Options:

A) $15 (\sqrt{3} - 1) s$

B) $15 (\sqrt{3} + 1) s$

C) $7.5 (\sqrt{3} - 1) s$

D) $7.5 (\sqrt{3} + 1) s$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] At the two points of the trajectory during projectile motion, the horizontal component of the velocity is same. Then $u cos 60^{\circ} = v cos 4 5^{\circ} .$

$\Rightarrow 150 \times \frac{1}{2} = v \times \frac{1}{\sqrt{2}} or \frac{150}{\sqrt{2}} m/s$

$Initially: u_{y} = u \sin 60^{\circ} = \frac{150 \sqrt{3}}{2} m/s$

$Finally: v_{y} = v \sin 45^{\circ} = \frac{150}{\sqrt{2}} \times \frac{1}{\sqrt{2}} = \frac{150}{2} m/s$

$But v_{y} = u_{y} + a_{y} t or \frac{150}{2} = \frac{150 \sqrt{3}}{2} - 10 t$

$10 t = \frac{150}{2} (\sqrt{3} - 1) or t = 7 .5 (\sqrt{3} - 1) s$

Kinematics Question 623

Question: A projectile is thrown in the upward direction making an angle of $60^{\circ}$ with the horizontal direction with a velocity of 147 $m s^{- 1}$ . Then the time after Which is inclination with the horizontal it’s $45^{\circ}$ , it’s

Options:

Answer:

Solution:

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Kinematics Question 623

Question: A projectile is thrown in the upward direction making an angle of 60∘ with the horizontal direction with a velocity of 147ms−1 . Then the time after Which is inclination with the horizontal it’s 45∘ , 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 projectile is thrown in the upward direction making an angle of $60^{\circ}$ with the horizontal direction with a velocity of 147 $m s^{- 1}$ . Then the time after Which is inclination with the horizontal it’s $45^{\circ}$ , it’s