The equations of motion of a projectile are given by x=36 t metre and 2y=96t-9.8t²

The Equations Of Motion Of A Projectile Are Given By Physics Question

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:

  1. A police jeep is chasing a culprit going on a motorbike.The motorbike crosses
  2. A charged particle enters a uniform magnetic field with a certain speed at right angles
  3. Energy of all molecules of a monoatomic gas having a volume V and pressure P is 3PV/2.
  4. An electric current passes through a long straight wire
  5. A resistor 30Ω, inductor of reactance 10 Ω and capacitor of reactance 10 Ω

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.

NEETLab Mobile App

Share this page with your friends

Be the first to comment

Leave a Reply

Your email address will not be published.


*