1
JEE Main 2022 (Online) 26th July Morning Shift
+4
-1

Two projectiles thrown at $$30^{\circ}$$ and $$45^{\circ}$$ with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities is :

A
$$1: \sqrt{2}$$
B
$$2: 1$$
C
$$\sqrt{2}: 1$$
D
$$1: 2$$
2
JEE Main 2022 (Online) 25th July Evening Shift
+4
-1

A ball is projected from the ground with a speed 15 ms$$-$$1 at an angle $$\theta$$ with horizontal so that its range and maximum height are equal,
then 'tan $$\theta$$' will be equal to :

A
$${1 \over 4}$$
B
$${1 \over 2}$$
C
2
D
4
3
JEE Main 2022 (Online) 30th June Morning Shift
+4
-1

At t = 0, truck, starting from rest, moves in the positive x-direction at uniform acceleration of 5 ms$$-$$2. At t = 20 s, a ball is released from the top of the truck. The ball strikes the ground in 1 s after the release. The velocity of the ball, when it strikes the ground, will be :

(Given g = 10 ms$$-$$2)

A
$$100\widehat i - 10\widehat j$$
B
$$10\widehat i - 100\widehat j$$
C
$$100\widehat i$$
D
$$- 10\widehat j$$
4
JEE Main 2022 (Online) 30th June Morning Shift
+4
-1

Two projectiles P1 and P2 thrown with speed in the ratio $$\sqrt3$$ : $$\sqrt2$$, attain the same height during their motion. If P2 is thrown at an angle of 60$$^\circ$$ with the horizontal, the angle of projection of P1 with horizontal will be :

A
15$$^\circ$$
B
30$$^\circ$$
C
45$$^\circ$$
D
60$$^\circ$$
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