1
JEE Main 2024 (Online) 9th April Evening Shift
+4
-1

Two cars are travelling towards each other at speed of $$20 \mathrm{~m} \mathrm{~s}^{-1}$$ each. When the cars are $$300 \mathrm{~m}$$ apart, both the drivers apply brakes and the cars retard at the rate of $$2 \mathrm{~m} \mathrm{~s}^{-2}$$. The distance between them when they come to rest is :

A
25 m
B
100 m
C
50 m
D
200 m
2
JEE Main 2024 (Online) 9th April Morning Shift
+4
-1

A particle moving in a straight line covers half the distance with speed $$6 \mathrm{~m} / \mathrm{s}$$. The other half is covered in two equal time intervals with speeds $$9 \mathrm{~m} / \mathrm{s}$$ and $$15 \mathrm{~m} / \mathrm{s}$$ respectively. The average speed of the particle during the motion is :

A
9.2 m/s
B
8.8 m/s
C
10 m/s
D
8 m/s
3
JEE Main 2024 (Online) 8th April Evening Shift
+4
-1

The angle of projection for a projectile to have same horizontal range and maximum height is :

A
$$\tan ^{-1}\left(\frac{1}{2}\right)$$
B
$$\tan ^{-1}(2)$$
C
$$\tan ^{-1}\left(\frac{1}{4}\right)$$
D
$$\tan ^{-1}(4)$$
4
JEE Main 2024 (Online) 6th April Evening Shift
+4
-1

A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in $$t_1$$. If it is projected vertically downwards from the same point with the same speed, it reaches the ground in $$t_2$$. Time required to reach the ground, if it is dropped from the top of the tower, is :

A
$$\sqrt{\mathrm{t}_1+\mathrm{t}_2}$$
B
$$\sqrt{\mathrm{t}_1 \mathrm{t}_2}$$
C
$$\sqrt{\frac{\mathrm{t}_1}{\mathrm{t}_2}}$$
D
$$\sqrt{\mathrm{t}_1-\mathrm{t}_2}$$
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