As per graph speed is negative after half cycle which is not possible. For velocity time graph it is correct graph.

Calculating the distance travelled

1. Calculate the total distance travelled by the object – its motion is represented by the velocity-time graph below.
2. Here, the distance travelled can be found by calculating the total area of the shaded sections below the line.
3. ½ × base × height.
4. ½ × 4 × 8 = 16 m 2
5. (10 – 4) × 8 = 48 m 2

Distance-time graphs

1. If an object moves along a straight line, the distance travelled can be represented by a distance-time graph.
2. Calculate the speed of the object represented by the green line in the graph, from 0 to 4 s.
3. change in distance = (8 – 0) = 8 m.
4. change in time = (4 – 0) = 4 s.

Distance time graph for uniform motion in one dimension means equal distance is travelled by equal interval of time, that is velocity is constant and hence the acceleration becomes zero. Therefore, Option A is the correct answer.

In all the given graph, we heve more than one values of speed corresponding to a single time. The graph must have a unique value of speed corresponding to a single time. Thus all the three graph are not possible.

Answer. While in option 3 graph is differentiable at all points so they are physically possible.

Speed-time graphs are very useful when describing the movement of an object. We can use them to determine whether or not the object is moving at any point in time. We can also use them to see what speed the object is travelling at that point in time.

In a distance-time graph, the slope or gradient of the line is equal to the speed of the object. The steeper the line (and the greater the gradient) the faster the object is moving.

A=m/s×s. ∴A=meter. Therefore, the area under the curve of the velocity time graph gives distance covered by the body. Note: The gradient of the curve in the distance time graph defines the velocity of the body.

It helps in calculating and locating the position of the body more easily. We can represent the given data clearly. it also helps us to find answer in less time.

Distance is actual path covered and can never be negative. so graph C is not possible.

You can’t fully represent displacement by finding the area, since as a vector quantity, displacement also requires a direction. Finding the area only gives an amount, no direction. The area under the curve is the magnitude of the displacement, which is equal to the distance traveled (only for constant acceleration).

The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

The acceleration time graph is the graph that is used to determine the change in velocity in the given interval of the time.

Deceleration is the opposite of acceleration. The deceleration will be computed by dividing the final velocity minus the initial velocity, by the amount of time is taken for this drop in velocity.

Negative Acceleration. Deceleration always refers to acceleration in the direction opposite to the direction of the velocity. Deceleration always reduces speed. It therefore has positive acceleration in our coordinate system.

v = final velocity. then. v = u + at. So, you can get a negative acceleration value in the case of vretardation.

time graph, the slope of the line corresponds to the acceleration of the objects. Objects that are accelerating (speeding up) will have a positive slope on a speed vs. time graph, while objects that are decelerating (slowing down) will have a negative slope.

‘Curved lines’ on a distance time graph indicate that the speed is changing. The object is either getting faster = ‘accelerating’ or slowing down = ‘decelerating’. You can see that the distanced moved through each second is changing.

A sloping line on a speed-time graph represents an acceleration . The sloping line shows that the speed of the object is changing. If the line slopes downward from left to right on the graph, this means that the object is slowing down. Its acceleration will be negative.

What does the slope represent on an acceleration graph? The slope of an acceleration graph represents a quantity called the jerk. The jerk is the rate of change of the acceleration.

When a rolling object, such as a ball or something on wheels, goes down a hill it will speed up. On a flat surface, it will keep going at the same speed. The change in speed on slopes is due to gravity. When going downhill, objects will accelerate (go faster), and when going uphill they will decelerate (slow down).

The slope of a distance-time graph indicates the rate of change of distance and it is termed as speed.

The slope of a line (steepness) can tell you speed. If the slope is steep (more vertical) then the speed is fast. If the slope is flatter (more horizontal) then the speed is slow. If the line is completely flat or horizontal then the object has no speed or is stopped.

1 Answer. Therefore, speed is the slope of the function expressing distance as a function of time.

The slope of a velocity graph represents the acceleration of the object. So, the value of the slope at a particular time represents the acceleration of the object at that instant.

The slope of a position graph represents the velocity of the object. So the value of the slope at a particular time represents the velocity of the object at that instant.

The type of motion occurring when the slope of a distance vs. time graph is changing is the object being moved at a constant rate of distance over time. The object had a positive or negative velocity (speed) during that duration of time, depending on the direction be traveled (toward/away).