60
Minutes
31
Questions
4 / -1
Marking
Q1. A ball is released from a height . If and be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation between and . [(JEE Main 2022)]
Q2. A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws balls per second, the maximum height the balls can reach is [(JEE Main 2022)]
Q3. A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height . Find the ratio of the times in which it is at height while going up and coming down respectively. [(JEE Main 2022)]
Q4. At time a particle starts travelling from a height in a plane keeping coordinate constant. At any instant of time it's position along the and directions are defined as and respectively. At acceleration of the particle will be [(JEE Main 2022)]
Q5. A NCC parade is going at a uniform speed of under a mango tree on which a monkey is sitting at a height of . At any particular instant, the monkey drops a mango. A cadet will receive the mango whose distance from the tree at time of drop is: (Given ) [(JEE Main 2022)]
5 m
10 m
19.8 m
24.5 m
Q6. A bullet is shot vertically downwards with an initial velocity of from a certain height. Within , the bullet reaches the ground and instantaneously comes to rest due to the perfectly inelastic collision. The velocity-time curve for total time will be: (Take ) [(JEE Main 2022)]
Graph (a)
Graph (b)
Graph (c)
Graph (d)
Q7. Two projectiles are thrown with same initial velocity making an angle of and with the horizontal respectively. The ratio of their respective ranges will be : [(JEE Main 2022)]
Q8. Two projectiles thrown at and with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities is : [(JEE Main 2022)]
Q9. A ball is projected from the ground with a speed at an angle with horizontal so that its range and maximum height are equal, then '' will be equal to : [(JEE Main 2022)]
2
4
Q10. Two projectiles and thrown with speed in the ratio , attain the same height during their motion. If is thrown at an angle of with the horizontal, the angle of projection of with horizontal will be : [(JEE Main 2022)]
Q11. A projectile is projected with velocity of at an angle with the horizontal. After seconds its inclination with horizontal becomes zero. If represents horizontal range of the projectile, the value of will be : [use ] [(JEE Main 2022)]
Q12. Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by and . At what time, both the buses have same velocity? [(JEE Main 2022)]
Q13. Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. [(JEE Main 2022)]
Assertion A : Two identical balls A and B thrown with same velocity '' at two different angles with horizontal attained the same range R. IF A and B reached the maximum height and respectively, then .
Reason R : Product of said heights . Choose the correct answer :
Both A and R are true and R is the correct explanation of A.
Both A and R are true but R is NOT the correct explanation of A.
A is true but R is false.
A is false but R is true.
Q14. A girl standing on road holds her umbrella at with the vertical to keep the rain away. If she starts running without umbrella with a speed of , the rain drops hit her head vertically. The speed of rain drops with respect to the moving girl is : [(JEE Main 2022)]
Q15. A projectile is launched at an angle '' with the horizontal with a velocity . After , its inclination with horizontal is ''. The value of will be : (). [(JEE Main 2022)]
...and 16 more challenging questions available in the interactive simulator.