1
JEE Main 2023 (Online) 10th April Evening Shift
+4
-1 A person travels $$x$$ distance with velocity $$v_{1}$$ and then $$x$$ distance with velocity $$v_{2}$$ in the same direction. The average velocity of the person is $$\mathrm{v}$$, then the relation between $$v, v_{1}$$ and $$v_{2}$$ will be.

A
$$\mathbf{V}=\mathbf{V}_{1}+\mathbf{V}_{2}$$
B
$$V=\frac{v_{1}+V_{2}}{2}$$
C
$$\frac{1}{\mathrm{v}}=\frac{1}{\mathrm{v}_{1}}+\frac{1}{\mathrm{v}_{2}}$$
D
$$\frac{2}{\mathrm{~V}}=\frac{1}{\mathrm{v}_{1}}+\frac{1}{\mathrm{v}_{2}}$$
2
JEE Main 2023 (Online) 10th April Evening Shift
+4
-1 Two projectiles are projected at $$30^{\circ}$$ and $$60^{\circ}$$ with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is:

A
$$1: \sqrt{3}$$
B
$$\sqrt{3}: 1$$
C
1 : 3
D
$$2: \sqrt{3}$$
3
JEE Main 2023 (Online) 10th April Morning Shift
+4
-1 The range of the projectile projected at an angle of 15$$^\circ$$ with horizontal is 50 m. If the projectile is projected with same velocity at an angle of 45$$^\circ$$ with horizontal, then its range will be

A
50$$\sqrt2$$ m
B
100 m
C
100$$\sqrt2$$ m
D
50 m
4
JEE Main 2023 (Online) 10th April Morning Shift
+4
-1 The position-time graphs for two students A and B returning from the school to their homes are shown in figure. (A) A lives closer to the school

(B) B lives closer to the school

(C) A takes lesser time to reach home

(D) A travels faster than B

(E) B travels faster than A

Choose the correct answer from the options given below:

A
(A), (C) and (D) only
B
(A) and (E) only
C
(A), (C) and (E) only
D
(B) and (E) only
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