1
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
$$\tan ^{-1}(4)$$
2
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
$$\sqrt{\mathrm{t}_1-\mathrm{t}_2}$$
3
JEE Main 2024 (Online) 6th April Morning Shift
+4
-1

A train starting from rest first accelerates uniformly up to a speed of $$80 \mathrm{~km} / \mathrm{h}$$ for time $$t$$, then it moves with a constant speed for time $$3 t$$. The average speed of the train for this duration of journey will be (in $$\mathrm{km} / \mathrm{h}$$) :

A
70
B
40
C
30
D
80
4
JEE Main 2024 (Online) 4th April Morning Shift
+4
-1

A body travels $$102.5 \mathrm{~m}$$ in $$\mathrm{n}^{\text {th }}$$ second and $$115.0 \mathrm{~m}$$ in $$(\mathrm{n}+2)^{\text {th }}$$ second. The acceleration is :

A
$$6.25 \mathrm{~m} / \mathrm{s}^2$$
B
$$5 \mathrm{~m} / \mathrm{s}^2$$
C
$$12.5 \mathrm{~m} / \mathrm{s}^2$$
D
$$9 \mathrm{~m} / \mathrm{s}^2$$
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