The relation between displacement and time is quadratic when the acceleration is constant and therefore this curve is a parabola . When a displacement-time graph is curved, it is not possible to calculate the velocity from it's slope. Slope is a property of straight lines only..
Also question is, what does displacement time graph represent?
displacement time graph tells us about the displacement of the body with respect to time. It also tells us the instantaneous displacement at instantaneous time. Answer:displacement time graph tells us about the displacement of the body with respect to time.
Likewise, what is the area under a displacement time graph? The area between a velocity-time graph and the `time' axis gives the displacement of the object. The slope is the same all the way from A to C, so the cyclist's velocity is constant over the entire displacement he travels. In figure 5.1 are examples of the displacement-time graphs you will encounter.
Besides, what does a curved line on a distance time graph mean?
The principle is that the slope of the line on a position-time graph reveals useful information about the velocity of the object. If the velocity is constant, then the slope is constant (i.e., a straight line). If the velocity is changing, then the slope is changing (i.e., a curved line).
What is the relationship between time and displacement?
Displacement is the vector difference between the ending and starting positions of an object. Velocity is the rate at which displacement changes with time. It is a vector, too. The average velocity over some interval is the total displacement during that interval, divided by the time.
Related Question Answers
What does displacement time graph represent how will you determine velocity of the body from displacement time graph?
The displacement-time graph presents the variation of position of the object with time. the slope of the graph is the instantaneous velocity at that moment.How do you find the displacement?
To calculate displacement, simply draw a vector from your starting point to your final position and solve for the length of this line. If your starting and ending position are the same, like your circular 5K route, then your displacement is 0. In physics, displacement is represented by Δs.Why does a curve on a distance time graph indicate acceleration?
The SLOPE of the line on a distance/time graph is the object's speed. If the graph is curved, then its slope is changing. That means the object's speed is changing. That means the object is accelerating.What is the equation for acceleration?
To calculate acceleration, use the equation a = Δv / Δt, where Δv is the change in velocity, and Δt is how long it took for that change to occur. To calculate Δv, use the equation Δv = vf - vi, where vf is final velocity and vi is initial velocity.What is the formula of velocity?
Velocity Formula. The velocity is the time rate of change of displacement. If 'S' is the displacement of an object in some time 'T', then the velocity is equal to, v = S/T. The units of velocity are m/s or km/hr.What does a horizontal line on a velocity time graph represent?
On a velocity-time graph a horizontal (flat) line indicates the object is travelling at a constant speed. A straight diagonal line indicates the object's velocity is changing.What does the slope of a distance versus time graph represent physically?
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.How do you find the acceleration of a curved graph?
The gradient of a velocity time graph represents acceleration, which is the rate of change of velocity. If the velocity-time graph is curved, the acceleration can be found by calculating the gradient of a tangent to the curve.What does a curved graph mean?
It looks curvy since it's not just made out of straight line segments. If a position graph is curved, the slope will be changing, which also means the velocity is changing. Changing velocity implies acceleration. So, curvature in a graph means the object is accelerating, changing velocity/slope.What does an acceleration time graph show?
The area under an acceleration graph represents the change in velocity. In other words, the area under the acceleration graph for a certain time interval is equal to the change in velocity during that time interval.What is a displacement time graph?
A displacement-time graph is able to show if an object is going backwards or forwards. Usually, a line with a negative gradient would indicate motion going backwards.Can you have zero acceleration and nonzero velocity?
Yes we can have zero acceleration and non zero velocity in case of uniform motion in which an object is moving in straight line with constant speed ,here object has non zero velocity but there is no change in velocity so no acceleration. 
