1
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1 An object moves with speed $$v_1,v_2$$ and $$v_3$$ along a line segment AB, BC and CD respectively as shown in figure. Where AB = BC and AD = 3AB, then average speed of the object will be: A
$${{{v_1}{v_2}{v_3}} \over {3({v_1}{v_2} + {v_2}{v_3} + {v_3}{v_1})}}$$
B
$${{({v_1} + {v_2} + {v_3})} \over 3}$$
C
$${{({v_1} + {v_2} + {v_3})} \over {3{v_1}{v_2}{v_3}}}$$
D
$${{3{v_1}{v_2}{v_3}} \over {({v_1}{v_2} + {v_2}{v_3} + {v_3}{v_1})}}$$
2
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1 A child stands on the edge of the cliff $$10 \mathrm{~m}$$ above the ground and throws a stone horizontally with an initial speed of $$5 \mathrm{~ms}^{-1}$$. Neglecting the air resistance, the speed with which the stone hits the ground will be $$\mathrm{ms}^{-1}$$ (given, $$g=10 \mathrm{~ms}^{-2}$$ ).

A
20
B
25
C
30
D
15
3
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
$$\frac{\sqrt3u}{g}$$
4
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
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