Slope of a Line

Q. Question 5
A driver of a car travelling at 52 kmph applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5 seconds. Another driver going at 3 kmph in another car applies his brakes slowly and stops in 10 seconds. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars travelled farther after the brakes were applied?

Q.

The velocity-time graph of a train travelling between two stations, is plotted as below:

Find train's average acceleration in each of the time intervals OX, XY and YZ respectively.

1. -2, 1 , 4

2. 2, 1, -4

3. -2, 0 , 4

4. 2 , 0 , -4

Q. Which of the following statements are true for direct proportionality?

1. If the value of one increase then the value of other will decrease.
2. If the value of one increase then the value of other will increase.
3. The ratio of two directly proportional quantities is always constant.
4. Product of two directly proportional is constant.

Q. The velocity-time graph shows the motion of a cyclist. The acceleration is .

1. zero
2. negative
3. positive

Q. The slope of the distance-time graph gives the ____.​

1. Acceleration
2. Velocity
3. Displacement
4. Speed

Q.

Slope of a velocity time graph gives:

1. Distance travelled

2. Velocity

3. Acceleration

4. Displacement

Q. The figure below shows a velocity-time graph of a train between two stations.
Find the acceleration of the train in each of the time intervals OX, XY, and YZ respectively.

1. $-2m{s}^{-2},1m{s}^{-2},4m{s}^{-2}$
2. $2m{s}^{-2},1m{s}^{-2},-4m{s}^{-2}$
3. $-2m{s}^{-2},0m{s}^{-2},4m{s}^{-2}$
4. $2m{s}^{-2},0m{s}^{-2},-4m{s}^{-2}$

Q. A line makes an angle of $\theta$ x-axis. What is the slope of the line?

1. $tan\theta$
2. $cot\theta$
3. $sin\theta$
4. $cos\theta$

Q.

The velocity-time graph of a train travelling between two stations, is plotted as below:

Find train's average acceleration in each of the time intervals OX, XY and YZ respectively.

1. 2, 1, -4

2. -2, 0 , 4

3. 2 , 0 , -4

4. -2, 1 , 4

Q. Calculate slope of4x^2-2x+1 at X= 2? Explain clearly

Q. find the slope of line 3 x minus 4 Y = 1

Q.

You measure two quantities A=1.0+_0.2m , B=2.0+_0.2m . We should report correct value for ROOT OF AB as :

A. 1.4m +_ 0.4 m

B. 1.41m +_0.15m

C. 1.4m+_0.3m

D. 1.4m +_0.2m