1
JEE Main 2022 (Online) 28th June Evening Shift
Numerical
+4
-1

A car covers AB distance with first one-third at velocity v1 ms$$-$$1, second one-third at v2 ms$$-$$1 and last one-third at v3 ms$$-$$1. If v3 = 3v1, v2 = 2v1 and v1 = 11 ms$$-$$1 then the average velocity of the car is _____________ ms$$-$$1.

2
JEE Main 2022 (Online) 26th June Evening Shift
Numerical
+4
-1

A ball is projected vertically upward with an initial velocity of 50 ms$$-$$1 at t = 0s. At t = 2s, another ball is projected vertically upward with same velocity. At t = __________ s, second ball will meet the first ball (g = 10 ms$$-$$2).

3
JEE Main 2022 (Online) 26th June Morning Shift
Numerical
+4
-1

A fighter jet is flying horizontally at a certain altitude with a speed of 200 ms$$-$$1. When it passes directly overhead an anti-aircraft gun, a bullet is fired from the gun, at an angle $$\theta$$ with the horizontal, to hit the jet. If the bullet speed is 400 m/s, the value of $$\theta$$ will be ___________$$^\circ$$.

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

A ball of mass 0.5 kg is dropped from the height of 10 m. The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is ________ m. [Use g = 10 m/s2]