Answer Ans 1) In graphs 2 and 4, the velocity of the object is negative, hence the object is moving in negative direction. Graphs 2 and 4 represents an object moving in negative
Full Answer
The acceleration-time graph shows a horizontal line in the negative region of the graph (meaning a negative acceleration).
An object moving in the positive direction at constant speed will be represented on a v-t graph by a horizontal line (slope = a = 0 m/s/s) positioned in the + velocity region.
A horizontal line means the object is moving at a constant speed. A downward sloping line means the object is slowing down.
time graph reveals pertinent information about an object's velocity. For example, a small slope means a small velocity; a negative slope means a negative velocity; a constant slope (straight line) means a constant velocity; a changing slope (curved line) means a changing velocity.
The principle is that the slope of the line on a velocity-time graph reveals useful information about the acceleration of the object. If the acceleration is zero, then the slope is zero (i.e., a horizontal line). If the acceleration is positive, then the slope is positive (i.e., an upward sloping line).
Acceleration-Time Graph shows the acceleration plotted against time for a particle moving in a straight line. The acceleration-time plots acceleration values on the y-axis and time values on the x-axis.
An object which moves in the negative direction has a negative velocity. If the object is slowing down then its acceleration vector is directed in the opposite direction as its motion (in this case, a positive acceleration).
DISTANCE-TIME GRAPHS Let's look at the axes: If an object is not moving, a horizontal line is shown on a distance-time graph.
⇒v2=−2Rxn+2c - Parabola.
speeding upWhen an object is speeding up, the acceleration is in the same direction as the velocity. Thus, this object has a positive acceleration.
A sloping line on a speed-time graph represents an acceleration . The sloping line shows that the speed of the object is changing. The object is either speeding up or slowing down. The steeper the slope of the line the greater the acceleration.
Answer: (b) If velocity-time graph is parallel to x-axis it means velocity of object is constant(object is moving in a particular direction without changing it's direction & travelling equal distance in equal interval of the time).
4.1 Calculate the distance away from the car the child needs to be, in order not to be hurt. 4.2 We are told that the time it takes for an alert person to react is about 1,5 s, while if
Since the velocity is constant, the displacement-time graph will always be straight, the velocity-time graph will always be horizontal, and the acceleration-time graph will always lie on the horizontal axis.When velocity is positive, the displacement-time graph should have a positive slope. When velocity is negative, the displacement-time graph should have a negative slope.
Constant acceleration motion can be represented in motion graphs which represent velocity, acceleration, and distance as functions of time. These graphs are useful for calculating information about motion using the slopes of the curves in each plot.
In comparison, when the curve on a velocity-time graph is straight but not horizontal, the velocity is changing. The three curves to the right each have a different slope. The graph with the steepest slope experiences the greatest rate of change in velocity. That object has the greatest acceleration. Compare the velocity-time equation for constant acceleration with the classic slope-intercept equation taught in introductory algebra.
Three different curves are included on the graph to the right, each with an initial position of zero. Note first that the graphs are all straight. (Any kind of line drawn on a graph is called a curve. Even a straight line is called a curve in mathematics.)
If the average acceleration is desired, draw a line connecting the endpoints of the curve and calculate its slope. If the instantaneous acceleration is desired, take the limit of this slope as the time interval shrinks to zero, that is, take the slope of a tangent.
Thus velocity corresponds to slope and initial position to the intercept on the vertical axis (commonly thought of as the "y" axis). Since each of these graphs has its intercept at the origin, each of these objects had the same initial position. This graph could represent a race of some sort where the contestants were all lined up at the starting line (although, at these speeds it must have been a race between tortoises). If it were a race, then the contestants were already moving when the race began, since each curve has a non-zero slope at the start. Note that the initial position being zero does not necessarily imply that the initial velocity is also zero. The height of a curve tells you nothing about its slope.
The average velocity of any object can be found by dividing the overall change in position (a.k.a. the displacement) by the change in time.
In these graphs, higher means faster not farther. The v = 9.0 m/s line is higher because that object is moving faster than the others.
Graphs are often the best way to convey descriptions of real world events in a compact form. Graphs of motion come in several types depending on which of the kinematic quantities (time, position, velocity, acceleration) are assigned to which axis.
If the average acceleration is desired, draw a line connecting the endpoints of the curve and calculate its slope. If the instantaneous acceleration is desired, take the limit of this slope as the time interval shrinks to zero, that is, take the slope of a tangent.
Thus velocity corresponds to slope and initial position to the intercept on the vertical axis (commonly thought of as the "y" axis). Since each of these graphs has its intercept at the origin, each of these objects had the same initial position. This graph could represent a race of some sort where the contestants were all lined up at the starting line (although, at these speeds it must have been a race between tortoises). If it were a race, then the contestants were already moving when the race began, since each curve has a non-zero slope at the start. Note that the initial position being zero does not necessarily imply that the initial velocity is also zero. The height of a curve tells you nothing about its slope.
Instantaneous velocity is the limit of average velocity as the time interval shrinks to zero.
In comparison, when the curve on a velocity-time graph is straight but not horizontal, the velocity is changing. The three curves to the right each have a different slope. The graph with the steepest slope experiences the greatest rate of change in velocity. That object has the greatest acceleration. Compare the velocity-time equation for constant acceleration with the classic slope-intercept equation taught in introductory algebra.
Three different curves are included on the graph to the right, each with an initial position of zero. Note first that the graphs are all straight. (Any kind of line drawn on a graph is called a curve. Even a straight line is called a curve in mathematics.)
The average velocity of any object can be found by dividing the overall change in position (a.k.a. the displacement) by the change in time.
In these graphs, higher means faster not farther. The v = 9.0 m/s line is higher because that object is moving faster than the others.