If two objects have velocity-time graphs that are both straight lines parallel to the time axis but at different heights, what does this indicate about the two objects?
Both have uniform velocities, but different magnitudes
The slope of a velocity-time graph gives acceleration, and the height of the graph above the time axis gives the velocity at each instant.
A straight line parallel to the time axis has zero slope, so the velocity does not change: each object moves with uniform velocity and zero acceleration. Since the two lines are at different heights, the two velocities have different magnitudes.
So neither object is accelerating. If the velocities were equal, the two lines would coincide, and an object at rest would have a graph lying along the time axis itself (v = 0), not above it.
Hence, Both have uniform velocities, but different magnitudes.
Similar Questions
A train moves 60 km at 30 km/h, halts for 1h, and then covers 90 km at 45 km/h. What is the average speed over the entire journey?
In a distance-time graph, if the curve is NOT a straight line, then it represents _______.
In all three equations of motion, the acceleration is assumed to be ________.
A speed - time graph for a car shows a straight line rising from 0 m/s at 0 s to 20 m/s at 5 s, then staying constant at 20 m/s until 10 s, and finally dropping to 0 m/s at 15 s. What is the total distance travelled by the car?
A cyclist starts from rest and pedals with constant force, causing her velocity to increase at a steady rate. After 5 seconds, which feature best describes the corresponding velocity-time graph for this motion?
A train starts from rest and attains a velocity of 40 m/s in 10 s with uniform acceleration. What distance does it cover in this time?
In a distance-time graph, two vehicles are represented by two lines: one is a straight line inclined to the time axis, and the other is a curved line with increasing steepness. What does this suggest about the motion of the two vehicles?
A student records the motion of a ball that travels from point Q to point R, then returns to point S, all along the same straight path. If the ball covers 70 meters to reach R from Q and then 30 meters from R to S, which best represents the physical difference between the total path length and displacement for this journey?
When an object is moving along a straight line at a variable speed, how can we express the magnitude of its rate of motion?
Which of the following is not an example of uniform circular motion?
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:
Vehicles have treaded tires so that it_______.
What is the formula for momentum?
Momentum of a given body is doubled. Its kinetic energy becomes (mass not changed)
