1
JEE Main 2023 (Online) 31st January Morning Shift
+4
-1

The initial speed of a projectile fired from ground is $$\mathrm{u}$$. At the highest point during its motion, the speed of projectile is $$\frac{\sqrt{3}}{2} u$$. The time of flight of the projectile is :

A
$$\frac{u}{g}$$
B
$$\frac{2u}{g}$$
C
$$\frac{u}{2g}$$
D
$$\frac{\sqrt3u}{g}$$
2
JEE Main 2023 (Online) 31st January Morning Shift
+4
-1

Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose the correct statement out of the following

{Assume negligible air friction}

A
Metal ball will reach the earth's surface earlier than the insulating ball
B
Both will reach the earth's surface simultaneously.
C
Insulating ball will reach the earth's surface earlier than the metal ball
D
Time taken by them to reach the earth's surface will be independent of the properties of their materials
3
JEE Main 2023 (Online) 30th January Evening Shift
+4
-1
A vehicle travels $4 \mathrm{~km}$ with speed of $3 \mathrm{~km} / \mathrm{h}$ and another $4 \mathrm{~km}$ with speed of $5 \mathrm{~km} / \mathrm{h}$, then its average speed is
A
$3.75 \mathrm{~km} / \mathrm{h}$
B
$4.25 \mathrm{~km} / \mathrm{h}$
C
$3.50 \mathrm{~km} / \mathrm{h}$
D
$4.00 \mathrm{~km} / \mathrm{h}$
4
JEE Main 2023 (Online) 30th January Morning Shift
+4
-1

Match Column-I with Column-II :

Column-I
($$x$$-t graphs)
Column-II
($$v$$-t graphs)
A. I.
B. II.
C. III.
D. IV.

Choose the correct answer from the options given below:

A
A- II, B-III, C-IV, D-I
B
A- II, B-IV, C-III, D-I
C
A- I, B-III, C-IV, D-II
D
A- I, B-II, C-III, D-IV
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