| ⇦ | 
| ⇨ |
The equations of motion of a projectile are given by x=36 t metre and 2y=96t-9.8t² metre. The angle of projection is
Options
(a) sin⁻¹ (4/5)
(b) sin⁻¹ (3/5)
(c) sin⁻¹ (4/3)
(d) sin⁻¹ (3/4)
Correct Answer:
sin⁻¹ (4/5)
Explanation:
x = 36t ⇒ dx/dt = 36
.·. vₓ = 36 m/s and 2y = 96t – 9.8t²
⇒ y = 48t – 9.8 t² ⇒ dy/dt = 48 – 9.8t
.·. vᵧ = 48 – 9.8t
At t = 0
⇒ vᵧ = 48
.·. tan θ = vᵧ / vₓ = 48 / 36 = 4 / 3
⇒ sin θ = 4/5 ⇒ θ = sin⁻¹ (4/5)
Related Questions: - The speed of light in media M₁ and M₂ are 1.5×10⁸ ms⁻¹ and 2×10⁸ ms⁻¹ respectively.
- A particle moves in xy plane according to the equation x = 4t² + 5t + 16 and y = 5t
- A hollow sphere of radius 0.1m has a charge of 5×10⁻⁸C. The potential
- Electrons in a certain energy level n=n₁, can emit 3 spectral lines. When they
- A very small circular loop of radius a is initially (at t=0) coplanar and concentric
Topics: Motion in Plane
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- The speed of light in media M₁ and M₂ are 1.5×10⁸ ms⁻¹ and 2×10⁸ ms⁻¹ respectively.
- A particle moves in xy plane according to the equation x = 4t² + 5t + 16 and y = 5t
- A hollow sphere of radius 0.1m has a charge of 5×10⁻⁸C. The potential
- Electrons in a certain energy level n=n₁, can emit 3 spectral lines. When they
- A very small circular loop of radius a is initially (at t=0) coplanar and concentric
Topics: Motion in Plane (93)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
18000+ students are using NEETLab to improve their score. What about you?
Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.
Share this page with your friends
Leave a Reply