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) 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
$4.00 \mathrm{~km} / \mathrm{h}$
3
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
4
JEE Main 2023 (Online) 25th January Evening Shift
+4
-1

The distance travelled by a particle is related to time t as $$x=4\mathrm{t}^2$$. The velocity of the particle at t=5s is :-

A
$$\mathrm{25~ms^{-1}}$$
B
$$\mathrm{20~ms^{-1}}$$
C
$$\mathrm{8~ms^{-1}}$$
D
$$\mathrm{40~ms^{-1}}$$
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