Derivation of three equations of motion

Q. Velocity of a particle is in negative direction with constant acceleration in positive direction. Then, match the following columns.

Column-I	Column-II
(a)	Velocity-time graph	(p)	Slope$\to$negative
(b)	Acceleration-time graph	(q)	Slope$\to$positive
(c)	Displacement-time graph	(r)	Slope$\to$zero
		(s)	$\left|Slope\right|\to$increasing
		(t)	$\left|Slope\right|\to$ decreasing
		(u)	$\left|Slope\right|\to$ constant

1. $(A\to q,u,B\to r,u,C\to p,t)$
2. $(A\to q,u,B\to r,u,C\to p,u)$
3. $(A\to q,u,B\to r,C\to p,t)$
4. $(A\to q,B\to r,u,C\to p,t)$

Q. The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by:

1. 
2. 
3. 
4. 

Q.

A bullet hits a wall with a velocity of 20 m/s and penetrates it up to a distance of 5 cm. Find the deceleration of the bullet in the wall.

Q. Velocity of a particle is in negative direction with constant acceleration in positive direction. Then, match the following columns.

Column-I	Column-II
(a)	Velocity-time graph	(p)	Slope$\to$negative
(b)	Acceleration-time graph	(q)	Slope$\to$positive
(c)	Displacement-time graph	(r)	Slope$\to$zero
		(s)	$\left|Slope\right|\to$increasing
		(t)	$\left|Slope\right|\to$ decreasing
		(u)	$\left|Slope\right|\to$ constant

1. $(A\to q,u,B\to r,u,C\to p,t)$
2. $(A\to q,u,B\to r,u,C\to p,u)$
3. $(A\to q,u,B\to r,C\to p,t)$
4. $(A\to q,B\to r,u,C\to p,t)$