If x and y coordinates of a projectile as a function of time (t) are given as 24t and 43.6t - 4.9t², 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: (b). vx = dx/dt = 24 m/s, vy = dy/dt = 43.6 - 9.8t At t = 2 s: vy = 43.6 - 19.6 = 24 m/s tan α = (vy)/(vx) = 24/24 = 1 ⇒ α = 45° So the answer is (b) 45.

If x and y coordinates of a projectile as a function of time (t) are… | JEE Main 2026 (4 Apr, Shift 2)

Q2JEE Main 2026 · 4 APR · SHIFT 2Medium

Velocity, Momentum & Energy in Flight

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 $t = 2\text{ s}$ is ______.

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Answer: (b)

$v_x = \frac{dx}{dt} = 24\text{ m/s}$ , $v_y = \frac{dy}{dt} = 43.6 - 9.8t$
At $t = 2\text{ s}$ : $v_y = 43.6 - 19.6 = 24\text{ m/s}$
$\tan\alpha = \frac{v_y}{v_x} = \frac{24}{24} = 1 \Rightarrow \alpha = 45^\circ$
So the answer is (b) 45.

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