MCQ: Distance-Time Graphs - Class 9 MCQ

When an object is at rest it will not be able to cover any distance . So for any object at rest the distance -time graph is horizontal to time axis

Topic in NCERT: Distance-Time Graphs

Line in NCERT: "Distance-time graphs can be employed under various conditions where objects move with uniform speed, non-uniform speed, remain at rest etc."

Area under a s-t graph represents a physical quantity which is Distance.
Area under the s-t graph will always give distance.
And distance has a unit of m.

The slope of velocity- time graph represents the acceleration. Since straight line is inclined to the time axis, slope is uniform  and constant, acceleration will be uniform.

Topic in NCERT: VELOCITY-TIME GRAPHS

Line in NCERT: "The area under the velocity-time graph gives the distance (magnitude of displacement) moved by the car in a given interval of time."

It is in uniform motion because it is travelling equal distances in equal intervals of time

Topic in NCERT: VELOCITY-TIME GRAPHS

Line in NCERT: "The height of its velocity-time graph will not change with time."

Independent variables are plotted along X-axis and Dependent variables are plotted along Y-axis. In the distance-time graph, time is independent and distance is a dependent variables. Y-axis is Distance

Topic in NCERT: DISTANCE-TIME GRAPHS

Line in NCERT: "In this graph, time is taken along the x-axis and distance is taken along the y-axis."

The gradient of a distance-time graph represents the speed of an object. The velocity of an object is its speed in a particular direction. The slope on a velocity-time graph represents the acceleration of an object. The distance travelled is equal to the area under a velocity-time graph.

Topic in NCERT: DISTANCE-TIME GRAPHS

Line in NCERT: "We can use the distance-time graph to determine the speed of an object."

For a body moving at uniform speed, the distance time graph is a straight line inclined to the time axis, which may pass through origin or some other point on the y- axis.

As in uniform motion, the distance time graph would be a straight line, because the equal distance is covered in equal units of time. 

Topic in NCERT: Distance-Time Graphs for Non-Uniform Motion

Line in NCERT: "The distance-time graph for the motion of the car is shown in Fig. 7.4. Note that the shape of this graph is different from the earlier distance-time graph (Fig. 7.3) for uniform motion."

Since The Body is at Rest ,It clearly means that The Body hasn't covered any Distance here.So,Distance is equal to zero.So,There is no meaning of having any slope here.. So,The Slope=0 Becoz The Distance at anytime will represent same point in Distance-Time Graph at 0..So,(B)is d correct answer. .

Topic in NCERT: DISTANCE-TIME GRAPHS

Line in NCERT: "Distance-time graphs can be employed under various conditions where objects move with uniform speed, non-uniform speed, remain at rest etc."

Answer: d) Distance

Explanation: In a distance-time graph, distance is plotted on the y-axis and time on the x-axis.

The graph shows two lines for objects A and B on a distance-time graph.

Key observations:

• The slope of the distance-time graph indicates the speed of the object.
• The line for B is steeper than the line for A, meaning that object B has a higher speed than object A.

Correct option: Option A: Speed of object B is greater than object A.