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Why does a constant speed have a slope of 0 on a graph of speed v time?
Because a slope of zero indicates that the y-value (speed) isn't changing.
What does the steepness of a line on a time-distance graph represent?
The steepness of the line on a distance-time graph represents the radial speed of the object. That is, the speed with which the object is moving towards or away from the origin. The steepness takes absolutely no account of the transverse speed, so you can be going around the origin in a circle at a great speed but, since your distance remains the same, the D-T graph will be flat: implying speed = 0.
What does 0 mean in a graph?
It is the point of origin of the x and y axes of the graph
The speed time graph of a particle moving along a fixed direction is shown belowobtain the distance traveled by the particle between t equals 0 and t equals 10swhat is the average speed of the partic?
On a speed time graph, the distance can be calculated by working out the area underneath the line. To work out the distance travelled between t=0 and t=10 you would need to find these two values and then work out the area on the graph of the shape bound by the line of the particle, the x axis, t=0 and t=10. The average speed of the particle is the distance (calculated above) divided by 10.
What does a linear line on a distance vs time graph indicate?
It indicates that the obect is moving, in a radial direct (towards or away from the point of reference) at a constant speed. That speed can be 0.
What is the difference between a sine graph and a cosine graph?
The sine graph and the cosine graph are identical in shape, with the cosine graph shifted to the left by pi / 2, i.e. the sine starts at (x=0,y=0) and proceeds up with an initial slope of one, and the cosine starts at (x=0,y=1), and proceeds down with an initial slope of zero.
What type of line is always found on a graph of constant speed?
it depends on what the graph is. if it is a distance vs time graph, the line will be a line with the slope being the speed/total time if it is a speed vs. time graph, the line will be horizontal at y=the speed if it is an acceleration vs time graph, the line will be horizontal at y=0
When might you want to use a scale or graph that doesnt start at 0?
when you have a chart or graph that starts at a very high number in which case, there is a symbol for that.
What is the graph of logarithm functions?
The graph of y = log(x) is defined only for x>0. The graph is a monotonic increasing function over its domain. It starts from an asymptotic "minus infinity" when x approaches 0. It passes through the value y = 0 when x = 1. The graph is illustrated at the link below.
Why does a constant speed have a slope of 0 on a graph of speed v time?
Because a slope of zero indicates that the y-value (speed) isn't changing.
Why does the displacement time graph of free vibration system do not come zero while acceleration time graph comes zero?
Not true. If the graph starts with displacement = 0 when time = 0 then it must return to zero at time = half the period, and all multiples of that value. If the graph starts at some other value, it must return to zero within t = half the period, and then keep returning to zero after every half-period.
What does the steepness of a line on a time-distance graph represent?
The steepness of the line on a distance-time graph represents the radial speed of the object. That is, the speed with which the object is moving towards or away from the origin. The steepness takes absolutely no account of the transverse speed, so you can be going around the origin in a circle at a great speed but, since your distance remains the same, the D-T graph will be flat: implying speed = 0.
What does 0 mean in a graph?
It is the point of origin of the x and y axes of the graph
Sketch a distance-time graph for a body starting from rest how will you determine the speed of a body from this graph?
It is not possible to sketch anything using this browser. The speed of a body cannot be determined from a distance-time graph. The slope of the graph is a measure of the radial velocity - that is the speed directly towards or directly away from the starting point. However, there is absolutely no information of any motion in a transverse direction. Since motion in this direction cannot be assumed to be 0, the distance-time graph cannot be used to determine speed.
What would be the shape of speed time graph of a body moving with variable speed?
The shape of the speed-time graph for an object moving with variable speed would depend on how its speed changes over time. It could be linear if the speed changes at a constant rate (acceleration or deceleration), curved if the acceleration is not constant, or a combination of different shapes if the speed fluctuates.
The speed time graph of a particle moving along a fixed direction is shown belowobtain the distance traveled by the particle between t equals 0 and t equals 10swhat is the average speed of the partic?
On a speed time graph, the distance can be calculated by working out the area underneath the line. To work out the distance travelled between t=0 and t=10 you would need to find these two values and then work out the area on the graph of the shape bound by the line of the particle, the x axis, t=0 and t=10. The average speed of the particle is the distance (calculated above) divided by 10.
What does a linear line on a distance vs time graph indicate?
It indicates that the obect is moving, in a radial direct (towards or away from the point of reference) at a constant speed. That speed can be 0.
