Velocity-time graph for the motion of an object in a straight path is a straight line parallel to the time axis. (a) Identify the nature of motion of the body. (b) Find the acceleration of the body. (c) Draw the shape of distance-time graph for this type of motion.
Velocity-time graph for the motion of an object in a straight path is a straight line parallel to the time axis.
(a) The nature of motion of the body will be constant or uniform as the acceleration is zero.
When the velocity of the body remains constant, then it means the speed and the direction of the body is not changing with respect to time. Hence, there is zero or no acceleration.
So, the velocity-time graph of an object in a straight path is a straight line parallel to the x-axis (time axis).
(b) We know that, acceleration is the rate of change of velocity. Here, from the graph we can see that velocity is not changing, remains constant. Hence, the acceleration will be zero.
(c) The shape of distance-time graph for this type of motion (uniform motion) is given below:
Uniform motion- A body is said to be in uniform motion if it travels equal distances in equal intervals of time, no matter how small these time intervals may be. In other words, the distance travelled is directly proportional to time. Thus, a distance-time graph for uniform motion will be a straight line.
Related Articles
- Velocity-time graph for the motion of an object in a straight path is a straight line parallel to the time axis. Find the acceleration of the body.
- What can you say about the motion of a body whose distance-time graph is a straight line parallel to the time axis ?
- What can you say about the motion of a body if its speed-time graph is a straight line parallel to the time axis?
- What can you say about the motion of a body if:$(a)$. its displacement-time graph is a straight line?$(b)$. its velocity-time graph is a straight line?
- What can you say about the motion of a body if its displacement-time graph is a straight line?
- Draw the distance-time graph for the uniform and non-uniform motion of an object.
- What is the nature of the distance-time graph for uniform and non-uniform motion of an object?
- Fig. 13.15 shows the distance-time graph for the motion of two vehicles A and B. Which one of them is moving faster?Fig. 13.15 Distance-time graph for the motion of two cars"
- Give the formula for the relation between Initial, final velocity, acceleration and time in a uniformly accelerated straight line motion.
- Give the formula for the relation between Initial velocity, acceleration, displacement, and time in a uniformly accelerated straight-line motion.
- The distance-time graph, for a car, kept parked on a side road, is a straight line parallel to the time axis. (True or False)
- The velocity-time graph for part of a train journey is a horizontal straight line. What does this tell you about its acceleration ?
- The velocity-time graph for part of a train journey is a horizontal straight line. What does this tell you about the train’s velocity?
- The slope of $v-t$ graph for a body in uniformly accelerated motion is_______.
- Fill in the following blanks with suitable words :(a) If a body moves with uniform velocity, its acceleration is…………………………..(b) The slope of a distance-time graph indicates………………….. of a moving body.(c) The slope of a speed-time graph of a moving body gives its………………………..(d) In a speed-time graph, the area enclosed by the speed-time curve and the time axis gives the…………….. by the body.(e) It is possible for something to accelerate but not change its speed if it moves in a………………………..
Kickstart Your Career
Get certified by completing the course
Get Started