- Introduction
- Average velocity
- Instantaneous velocity
- |
- Average and instantaneous acceleration
- |
- Motion with constant acceleration
- |
- Projectile Motion
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- Uniform circular motion
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- Motion in three dimensions

**Paragraph type question**

**(A)** A Man X drops a stone from the fifteen floor of the building .A Man Y ascending in an elevator at a constant speed v=10 m/s passed the Fifteen floor just as the stone is released

**Question 1**

Find the position, velocity of the stone as seen by the Man X at time t=2 sec

a. (19m ,19m/s)

b. (19.6m,19.6m/s)

c. (10m,10m/s)

d (11m,12m/s)

**Question 2**

Find the position, velocity of the stone relative to Man Y at 3 sec

a. (39m, 70m/s)

b. (19m, 70m/s)

c. (70m, 39 m/s)

d. (14 m, 29m/s)

**Question 3**

Find the acceleration of the stone with respect to Man X and Y.

a. (9.8 m/s^{2}, 9.8m/s^{2})

b. (9 m/s^{2}, 10 m/s^{2})

c. (10 m/s^{2}, 10m/s^{2})

d. None of these

**(B)** A particle moves such a way that

where **i** and **j** are unit vectors along x and y direction. A and ω are constant

**Question 4**

Find the trajectory of the particle

- Circle
- Parabola
- Eclipse
- None of the above

**Question 5**

Find the average velocity of the particle from t=0 to

**Question 6**

Find the scalar Product of Acceleration and velocity at any point t

a. 1

b. -1

c. 0

d. None of the above

**Question 7**

Find the tangential acceleration at any point of time t

**Question 8**

Find the radial acceleration at any point of time t

**Question 9**

**(C)** A gun is mounted on a train roof .Train is travelling with the velocity v in north direction. A car is also moving on a parallel track with train with velocity w in north direction. Two bullet are fired from the muzzle of the gun .Take north as positive and south as negative

**Question 10**

Bullet one is fired in the north direction with the muzzle velocity u. Find the velocity of the bullet as seen from the observer on the earth

a) u+v

b) u-v

c) u

d) v

**Question 11**

Find the velocity of the bullet as seen from the observer on the moving car

a u+v-w

b u-v-w

c u

d v

**Question 12**

Bullet one is fired in the south direction with the muzzle velocity u. Find the velocity of the bullet as seen from the observer on the earth

a u+v

b v-u

c u

d v

**Question 13**

Find the velocity of the second bullet as seen from the observer on the moving car

a u+v-w

b v-u-w

c u

d v

**(D) **A train is moving in the west direction with a velocity 15m/s.A monkey runs on the roof of the train against its motion with a velocity 5m/s with respect to train .Take the motion along west as positive

**Question 14**

Velocity of train relative to its driver

a. 0

b. 15 m/s

c. -15 m/s

d. 20 m/s

**Question 15**

What is the velocity of train with respect to monkey

a. 5m/s

b -5 m/s

c. 15 m/s

d -15 m/s

**Question 16**

Find the velocty of ground with respect to monkey

a. 5 m/s

b. -5 m/s

c. 10 m/s

d. -10 m/s

**(E)** Two particles start from the origin of the horizontal x-y plane. Particle A moves along +x axis with uniform velocity u. Particle B moves along -y axis with velocity u. i and j are the unit vectors along x and y direction

**Question 17**

Find the relative velocity of particle B wrt to A at time t

a -u(i+j)

b u(i+j)

c 0

d none of the above

**Question 18**

Find the relative velocity of particle A wrt to B at time t

a -u(i+j)

b u(i+j)

c 0

d none of the above

**Question 19**

find the relative position vector of particle A wrt to B at time t

a -ut(i+j)

b ut(i+j)

c 0

d none of the above

**Answers**

- (b)
- (c)
- (a)
- (a)
- (a)
- (c)
- (b)
- (b)
- (a)
- (a)
- (a)
- (b)
- (a)
- (a)
- (a)
- (d)
- (a)
- (b)
- (b)

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