Galileo’s law of odd numbers: The distances traversed, during equal intervals of time, by a body falling from rest, stand to one another in the ratio:
 

1.	as the odd numbers beginning with unity.
2.	as the even numbers beginning with unity.
3.	as the square of odd numbers beginning with unity.
4.	as the square of even numbers beginning with unity.

A train is moving in south with a speed of 90 ${\mathrm{kmh}}^{-1}$. The velocity of ground with respect to the train is:

1.  0 ${\mathrm{ms}}^{-1}$

2.  -25 ${\mathrm{ms}}^{-1}$

3.  25 ${\mathrm{ms}}^{-1}$

4.  -40 ${\mathrm{ms}}^{-1}$

Two parallel rail tracks run north-south. Train A moves north with a speed of 54 ${\mathrm{kmh}}^{-1}$, and train B moves south with a speed of 90 ${\mathrm{kmh}}^{-1}$. The magnitude of the velocity of B with respect to A is:

1.  40 ${\mathrm{ms}}^{-1}$

2.  0 ${\mathrm{ms}}^{-1}$

3.  25 ${\mathrm{ms}}^{-1}$

4.  15 ${\mathrm{ms}}^{-1}$

A train is moving in the north direction with a speed of \(54\) ${\mathrm{kmh}}^{-1}$. The velocity of a monkey running on the roof of the train against its motion (with a velocity of \(18\) ${\mathrm{kmh}}^{-1}$ with respect to the train) as observed by a man standing on the ground is:
1. \(40\) ms^-1
2. \(0\)
3. \(-5\) ms^-1
4. \(10\) ms^-1

The position of an object moving along the \(x\text-\)axis is given by, \(x=a+bt^2\), where \(a=8.5 ~\text m,\)  \(b=2.5~\text{m/s}^2,\) and \(t\) is measured in seconds. Its velocity at \(t=2.0~\text s\) will be:
1. \(13~\text{m/s}\) 
2. \(17~\text{m/s}\)
3. \(10~\text{m/s}\)
4. \(0~\text{m/s}\)

The position-time graph for a free-falling object is:

Figure shows x-t graph for a particle undergoing one-dimensional motion. What is the velocity of the particle at t=20 s?

1. 5 m/s

2. 10 m/s

3. Zero

4. 2 m/s

The figure shows the velocity-time graph for a particle. Acceleration in the time interval t=0 to t=8s will be:

1. Constant

2. Variable and decreasing with time

3. Variable and increasing with time

4. Can't say

The figure shows the velocity-time graph for a particle. What is the acceleration of the particle?

1. $\frac{v-v_o}{t_o}$

2. $\frac{v-2v_o}{t_o}$

3. $\frac{2v-v_o}{t_o}$

4. $\frac{v-v_o}{2t_o}$

Two figures shown below exhibit position-time graphs for particles undergoing one-dimensional motion. In which of the following graph(s), the acceleration of the particle is zero?

1. Only graph (a)

2. Only graph (b)

3. Both graphs (a) & (b)

4. Neither graph (a) nor (b)