SATHEE: Kinematics Question 613

Kinematics Question 613

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 s

B)10.98 s

C) 5.49 s

D)2.74 s

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Velocity of projectile $u = 147 m s^{- 1}$

Angle of projection $α = 60^{\circ}$

Let, the time taken by the projectile from O to A be t where direction $β = 45^{\circ}$ .

As horizontal component of velocity remains constant during the projectile motion.

$\Rightarrow v \cos 45^{\circ} = u cos 60^{\circ}$

$\Rightarrow v \times \frac{1}{\sqrt{2}} = 147 \times \frac{1}{2} \Rightarrow v = \frac{147}{\sqrt{2}} m s^{- 1}$

For Vertical motion, $v_{y} = u_{y} - gt$

$\Rightarrow v \sin 45^{\circ} = 45 \sin 60^{\circ} - 9.8 t$

$\Rightarrow \frac{147}{\sqrt{2}} \times \frac{1}{\sqrt{2}} = 147 \times \frac{\sqrt{3}}{2} - 9.8 t$

$\Rightarrow 9 .8 t = \frac{147}{2} (\sqrt{3} - 1) \Rightarrow t = 5.49 s$

Kinematics Question 613

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:

Engineering Preparation

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NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

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NCERT Exercise Video Solution

Kinematics Question 613

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