Slope of a Curve

Q. Why do we place a constant while removing the sign of proportionality

Q. Which of the following statement(s) is/are true for inversely proportional quantities?

1. Their product is always a constant.
2. Their sum is always one.
3. If the value of one increases, the value of other will decrease.
4. If the value of one increases, the value of other will increase.

Q. Meaning of directly proportional and inversely proportional through example

Q. The displacement versus time graph of a moving body is given below.
Which one of the following graphs would represent the velocity versus time graph of ths moving body?

1. 
2. 
3. 
4. 

Q.

For the graph given below choose the correct option :

$\begin{array}{cc}\text{Table A}& \text{Table B}\\ a)\text{Line A}& i)\text{Accelerated Motion}\\ b)\text{Line B}& ii)\text{Constant velocity (high magnitude)}\\ c)\text{Curve C}& iii)\text{At rest}\\ d)\text{Line E}& iv)\text{Constant Velocity (low magnitude)}\end{array}$

1. a-iii , b-i , c-ii , d-iv

2. a-i , b-iii , c-iv , d -ii

3. a-iii , b-ii , c-i , d-iv

4. a-iii , b-iv , c-i , d-ii

Q. The velocity-time graph of a train traveling between two stations is plotted below:


Find the train's acceleration (in $\text{m}{\text{s}}^{-2}$) in each of the time intervals OX, XY, and YZ respectively.

1. $-2,0,4$
2. $-2,1,4$
3. $2,1,-4$
4. $2,0,-4$

Q. John covered a part of his journey at $20\text{kmph}$, and the remaining part at $70\text{kmph}$. He took a total of $8\text{hr}$ to cover a distance of $400\text{km}$. For how much time did he travel at $20\text{kmph}$?

1. $4\text{hr}$ and $40\text{min}$
2. $3\text{hr}$ and $12\text{min}$
3. $3\text{hr}$ and $20\text{min}$
4. $4\text{hr}$ and $12\text{min}$