1
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
2
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
$$\mathrm{40~ms^{-1}}$$
3
JEE Main 2023 (Online) 25th January Evening Shift
+4
-1

Two objects are projected with same velocity 'u' however at different angles $$\alpha$$ and $$\beta$$ with the horizontal. If $$\alpha+\beta=90^\circ$$, the ratio of horizontal range of the first object to the 2nd object will be :

A
1 : 1
B
2 : 1
C
1 : 2
D
4 : 1
4
JEE Main 2023 (Online) 25th January Morning Shift
+4
-1

A car travels a distance of '$$x$$' with speed $$v_1$$ and then same distance '$$x$$' with speed $$v_2$$ in the same direction. The average speed of the car is :

A
$${{{v_1}{v_2}} \over {2({v_1} + {v_2})}}$$
B
$${{2{v_1}{v_2}} \over {{v_1} + {v_2}}}$$
C
$${{2x} \over {{v_1} + {v_2}}}$$
D
$${{{v_1} + {v_2}} \over 2}$$
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