#### Kinematics Important Questions

11th Standard

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Physics

Time : 01:00:00 Hrs
Total Marks : 50
5 x 1 = 5
1. If a particle has negative velocity and negative acceleration, its speed

(a)

increases

(b)

decreases

(c)

remains same

(d)

zero

2. If the velocity is $\overrightarrow { v } =2\hat { i } +{ t }^{ 2 }\hat { j } -9\overrightarrow { k }$ then the magnitude of acceleration at t=0.5 s is

(a)

1 ms-2

(b)

2 ms-2

(c)

zero

(d)

-1 ms-2

3. If a particle executes uniform circular motion, choose the correct statement

(a)

The velocity and speed are constant

(b)

The acceleration and speed are constant.

(c)

The velocity and acceleration are constant.

(d)

The speed and magnitude of acceleration are constant.

4. Choose the motion in two dimension from the following.

(a)

Motion of a train along a straight railway track

(b)

An object falling freely under gravity close to the Earth.

(c)

A particle moving along a curved path in a plane.

(d)

Flying ofa kite on a windy day.

5. A train is moving towards east and a car is along north, both with same speed. The passenger in the train is observed the car moving in which of the following direction?

(a)

East-north direction

(b)

West-north direction

(c)

South-east direction

(d)

None of these

6. 5 x 2 = 10
7. Convert the vector $\vec { r } =3\hat { i } +2\hat { j }$ into a unit vector.

8. What are the resultants of the vector product of two given vectors given by $\overrightarrow { A } =4\hat { i } -2\hat { j } +\hat { k } and\quad \overrightarrow { B } =5\hat { i } +3\hat { j } -4\hat { k }$

9. If Earth completes one revolution in 24 hours, what is the angular displacement made by Earth in one hour. Express your answer in both radian and degree.

10. The Moon is orbiting the Earth approximately once in 27 days, what is the angle transversed by the Moon per day?

11. What is position vector? Show the position vector for particle in three dimensional motion. Write an expression for this position vector.

12. 5 x 3 = 15
13. Define velocity and speed

14. Write down the kinematic equations for angular motion.

15. Write down the expression for angle made by resultant acceleration and radius vector in the non uniform circular motion.

16. Write an expression for displacement vector in Cartesian coordinate system and also show graphically.

17. What does the slope of 'position-time' graph represent? Which physical quantity is obtained from it?

18. 4 x 5 = 20
19. Derive the expression for centripetal acceleration.

20. Derive the expression for total acceleration in the non uniform circular motion.

21. The position of an particle is given by x = 6t + 2t3. Find out that its motion is uniform and non uniform.

22. The displacement x of a particle varies with time 't' as, x = 3t2 - 4t+ 30. Find the position, velocity and acceleration of the particle at t=0.