Displacement vs time graph

Q. The distance-time graph of an object is shown in the figure. The object -

1. is at rest.
2. moves with a constant speed.
3. moves with a constant velocity.
4. moves with a constant acceleration.

Q.

How is gradient calculated?

Q. A displacement $s$ v/s time $t$ curve of a particle is shown in the figure. The maximum instantaneous velocity $v_m$ of the particle is around the point

1. $S$ with $v_m\approx 2m/s$
2. $R$ and $v_m\approx 2m/s$
3. $Q$ and $v_m\approx 1m/s$
4. $R$ and $v_m\approx 0.5m/s$

Q. The distance-time graph of an object is shown in the figure. The object -

1. is at rest.
2. moves with a constant speed.
3. moves with a constant velocity.
4. moves with a constant acceleration.

Q. Distance-time graph for a particle moving with a constant speed will be

1. Circle
2. Straight line
3. Polygon
4. Stairlike line

Q. In displacement-time graph (plotted in x-y plane), displacement is taken along axis.

1. x-axis
2. y-axis
3. z-axis

Q. Displacement - time graph of a body travelling in a straight line is shown in the figure.

Velocity-time graph for the motion of the body will be

1. 
   
2. 
3. 
4. 

Q.

A car is moving along a straight line. It's displacement (x) - time (t) graph is shown. Match the entries in column I with points on graph as in Column-II.

Column I

(p) x $\to$ negative, v $\to$ positive, a $\to$ positive (q) x $\to$ positive, v $\to$ negative, a $\to$ negative

(r) x $\to$ negative, v $\to$ negative, a $\to$ positive (s) x $\to$ positive, v $\to$ positive, a $\to$ negative.

Column II

1. (p - d) (q - b) (r - c) (s - a)

2. (p - b) (q - d) (r - c) (s - a)

3. (p - a) (q - c) (r - b) (s - d)

4. (p - c) (q - a) (r - d) (s - b)

Q.

Figure depicts the motion of a particle moving along an x axis with a constant acceleration. The figure's vertical scaling is set by $x_s$ = 6.0 m. What is the particle's acceleration?

1. - 4 m/$s^2$

2. +4 m/$s^2$

3. + 1 m/$s^2$

4. + 2 m/$s^2$

Q. For the displacement-time graph shown in figure, the ratio of the magnitudes of the instantaneous velocities during $t=1\text{s}$ and $t=4\text{s}$ is

1. 1 : 1
2. 2 : 1
3. 1 : 2
4. 3 : 2