If the speed of an object changes with time, the distance–time graph will be:
A curved line
On a distance–time graph, the slope at any point gives the speed of the object. If the speed keeps changing with time, the slope must keep changing too, and a line whose slope is continuously changing is a curved line. So non-uniform (changing) speed always produces a curved distance–time graph.
A straight line parallel to the time axis (a horizontal line) means distance is not changing at all, so the object is at rest. A straight line inclined to the time axis has a constant slope, which represents uniform speed, not changing speed. Only a curved line can show a speed that varies with time.
Hence, the answer is a curved line.
Similar Questions
Which of the following equations does NOT correctly represent the relationship between physical quantities for an object moving with uniform acceleration?
In a velocity–time graph, which type of line represents motion with no change in velocity?
A distance-time graph for an object moving at uniform speed is characterized by which of the following features?
If a body's velocity changes from +20 m/s to –10 m/s in 4 seconds, the acceleration is _______.
A block of mass 1 kg is dropped from the top of a building of height X m. What will be the value of X if the block hits the ground with a velocity of 20 m/s?
(Take the value of g = 10 m/s2)
When interpreting a velocity–time graph, what physical quantity is represented by the area under the graph during a specific time interval?
A velocity-time graph for a body moving with uniform acceleration is a straight line that slopes upwards. What does the area under this line between two time points represent?
If a person walks 5 meters east, then 12 meters west along a straight path, which value represents the magnitude of the person’s displacement?
Which of the following situations shows an object with zero linear velocity on a position-time graph?
For a car moving with accelerated motion, the distance-time graph is:
Important Questions from Motion
An object is covering distance in direct proportion to the square of time elapsed. What conclusion can be drawn about the motion of the object?
If the distance time graph of the motion of an object is a straight line but not parallel to the time axis, then it may be concluded that the object is moving with a:
Which of the following changes when a body performs uniform circular motion?
Vehicles have treaded tires so that it_______.
What is the formula for momentum?
