1
JEE Main 2024 (Online) 8th April Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The angle of projection for a projectile to have same horizontal range and maximum height is :

A
$$\tan ^{-1}\left(\frac{1}{2}\right)$$
B
$$\tan ^{-1}(2)$$
C
$$\tan ^{-1}\left(\frac{1}{4}\right)$$
D
$$\tan ^{-1}(4)$$
2
JEE Main 2024 (Online) 4th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The co-ordinates of a particle moving in $$x$$-$$y$$ plane are given by : $$x=2+4 \mathrm{t}, y=3 \mathrm{t}+8 \mathrm{t}^2$$.

The motion of the particle is :

A
uniform motion along a straight line.
B
non-uniformly accelerated.
C
uniformly accelerated having motion along a straight line.
D
uniformly accelerated having motion along a parabolic path.
3
JEE Main 2024 (Online) 30th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Projectiles A and B are thrown at angles of $$45^{\circ}$$ and $$60^{\circ}$$ with vertical respectively from top of a $$400 \mathrm{~m}$$ high tower. If their ranges and times of flight are same, the ratio of their speeds of projection $$v_A: v_B$$ is :

[Take $$g=10 \mathrm{~ms}^{-2}$$]

A
$$1: 2$$
B
$$\sqrt{2}: 1$$
C
$$1: \sqrt{2}$$
D
$$1: \sqrt{3}$$
4
JEE Main 2024 (Online) 27th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Position of an ant ($$\mathrm{S}$$ in metres) moving in $$\mathrm{Y}$$-$$\mathrm{Z}$$ plane is given by $$S=2 t^2 \hat{j}+5 \hat{k}$$ (where $$t$$ is in second). The magnitude and direction of velocity of the ant at $$\mathrm{t}=1 \mathrm{~s}$$ will be :

A
$$16 \mathrm{~m} / \mathrm{s}$$ in $$y$$-direction
B
$$4 \mathrm{~m} / \mathrm{s}$$ in $$x$$-direction
C
$$9 \mathrm{~m} / \mathrm{s}$$ in $$\mathrm{z}$$-direction
D
$$4 \mathrm{~m} / \mathrm{s}$$ in $$y$$-direction
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