Q 11-03-046JEE MainJEE Main 2026 (4 Apr, Shift 2)Easy
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 ______.
Answer: (B) $45$
Concept. Compare with $x=u_xt$ and $y=u_yt-\tfrac12gt^2$: $u_x=24$, $u_y=43.6$, $g=9.8$. The angle of the velocity is $\tan\beta=v_y/v_x$.
Step 1. Velocity at $t=2$ s.
$$v_x=24,\qquad v_y=43.6-9.8\times2=24$$
Step 2. Angle. $\tan\beta=\dfrac{24}{24}=1\Rightarrow\beta=45^\circ$.
Answer. $45$ (Option B).
Solution by Sreeraj P, M.Sc Physics
