Kinematics IIT JEE Test

1. A particle is dropped from the top of a tower of height 2080 m. Another particle is projected from the bottom of the tower at a speed of 130 m/s. At what height from the ground do the two particles meet? ( g= 10 m/s2)


2. 1 D Motion of a body is measured at equal time intervals of 10 sec. the body covered a distance of 750 m during first time interval and 1250 during second time interval. What is the speed of the body at the end of third time interval?


3. An Olympic shooter of height 6 feet participates in Men's 350 m Rifle event. He can fire a bullet with initial velocity of 350 m/s. He gets 10 points if bullet hits the target with in height range of [1.93, 1.73] m. What is the angle with the horizontal at which he can fire to get 10 points?


4. Two particles are projected from the ground at an angle 60 deg, 60 deg with initial velocities 100 m/s, 50 m/s respectively. What is the slope of line joining these two particles after t= 6 s.


5. Two particles are projected from the ground at an angle 45 deg, 45 deg with initial velocities 150 m/s, 75 m/s respectively. What is the slope of line joining these two particles after t= 6 s.


Two contestants participate in an X event, in which one contestant throws a ball in to air and other shoots it. The first contestant was traveling in a car in heavy rain, which appeared to fall at velocity 10m/s and vertically. The second contestant was following the first contestant in a car along the same line. For him rain appeared to fall at a velocity of 20 m/s making an angle 60 deg from vertical. The first contestant fired a ball (mass = 10 g) vertically at speed 175 m/s and second contestant shot the ball with a gun (velocity = 350 m/s, mass = 0.1 g).

6. If distance between two cars was 350 m, then what is the angle from the ground at which the second contestant fired the bullet?


Two contestants participate in an X event, in which one contestant throws a ball in to air and other shoots it. The first contestant was traveling in a car in heavy rain, which appeared to fall at velocity 10m/s and vertically. The second contestant was following the first contestant in a car along the same line. For him rain appeared to fall at a velocity of 20 m/s making an angle 60 deg from vertical. The first contestant fired a ball (mass = 10 g) vertically at speed 175 m/s and second contestant shot the ball with a gun (velocity = 350 m/s, mass = 0.1 g).

7. What was the relative velocity of second contestant with respect to first contestant?


Two contestants participate in an X event, in which one contestant throws a ball in to air and other shoots it. The first contestant was traveling in a car in heavy rain, which appeared to fall at velocity 10m/s and vertically. The second contestant was following the first contestant in a car along the same line. For him rain appeared to fall at a velocity of 20 m/s making an angle 60 deg from vertical. The first contestant fired a ball (mass = 10 g) vertically at speed 175 m/s and second contestant shot the ball with a gun (velocity = 350 m/s, mass = 0.1 g).

8. What was the relative velocity of bullet with respect to first contestant?


Two contestants participate in an X event, in which one contestant throws a ball in to air and other shoots it. The first contestant was traveling in a car in heavy rain, which appeared to fall at velocity 10m/s and vertically. The second contestant was following the first contestant in a car along the same line. For him rain appeared to fall at a velocity of 20 m/s making an angle 60 deg from vertical. The first contestant fired a ball (mass = 10 g) vertically at speed 175 m/s and second contestant shot the ball with a gun (velocity = 350 m/s, mass = 0.1 g).

9. What was the time taken by the bullet in hitting the target?


Two contestants participate in an X event, in which one contestant throws a ball in to air and other shoots it. The first contestant was traveling in a car in heavy rain, which appeared to fall at velocity 10m/s and vertically. The second contestant was following the first contestant in a car along the same line. For him rain appeared to fall at a velocity of 20 m/s making an angle 60 deg from vertical. The first contestant fired a ball (mass = 10 g) vertically at speed 175 m/s and second contestant shot the ball with a gun (velocity = 350 m/s, mass = 0.1 g).

10. If bullet stays in the ball after collision then what is the resultant relative velocity of the bullet with respect to first contestant?
























Description:

This is a intermediate level test on Kinematics.

If you score 7 out of 10, you can get 10% off on courses offered by sparck4iit. If you score 8 out of 10, you can get 20% off on courses offered by sparck4iit. If you score 9 out of 10, you can get 30% off on courses offered by sparck4iit. If you score 10 out of 10, you can get 40% off on courses offered by sparck4iit.

About sparck4iit

Mathematics, Physics and Chemistry online live teaching by graduates from reputed institutes (IIT, BITS, CBIT,SRM) for ISEET ( IIT JEE, AIEEE etc..)

Discussion

Anmol Gupta

last five questions were awesome if followed all the steps correctly then it was very cool question do u have any other module with such great questions

2198 days 9 hours 18 minutes ago

sparck4IIT
Ignite your potential
User
12 Members Recommend
42 Followers

Your Facebook Friends on WizIQ

More Tests By Author

NUCLEAR CHEMISTRY - IIT JEE
10 Questions | 619 Attempts

Periodic Classification of Elements - IIT JEE
10 Questions | 1408 Attempts

IIT JEE ATOMIC STRUCTURE TEST
10 Questions | 977 Attempts