JEE Mains · Physics · STD 11 - 3.2 motion in plane
If \(x\) and \(y\) coordinates of a projectile as a function of time \((t)\) are given as \(24t\) and \(43.6t-4.9t^2\), respectively, then the angle (in degrees) made by the projectile with horizontal when \(t=2\) s is ______.
- A \(60\)
- B \(45\)
- C \(30\)
- D \(75\)
Answer & Solution
Correct Answer
(B) \(45\)
Step-by-step Solution
Detailed explanation
The velocity components of the projectile are given by the derivatives of the position coordinates with respect to time. \(v_x = \dfrac{dx}{dt} = \dfrac{d}{dt}(24t) = 24\) \(v_y = \dfrac{dy}{dt} = \dfrac{d}{dt}(43.6t - 4.9t^2) = 43.6 - 9.8t\) At \(t = 2\) s, the velocity…
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