Describe the d-t graph when the speed is contant, increasing,decreasing and zero.?

Question

Describe the d-t graph when the speed is contant, increasing,decreasing and zero.?

Answer 1

distance time graphs are quite easy.

when speed is constant, the distance is always at the same constant GRADIENT.

when the speed increases there is a steeper gradient for the line.

when the speed decreass there is a drop in gradient value.

When the speed is zero, the line is equal to the Y axis. a straight horizontal line.

meow

Answer 2

if t is the horizontal, d the vertical axis respectively :

speed constant - a straight, increasing, line with gradient according to the speed and y intercept depending how far you started from the origin.

increasing speed : - an increasing curve with curvature increasing depending on the rate of change of speed

decreasing speed : an increasing curve with curvature decreasing according to the rate of change of speed - approaching a horizontal line that when the speed approaches zero

zero speed - a horizontal line.

Answer 3

I am not quite sure what you mean by "describe," but here is a link to a pre-made dt table where you can enter in the distances, under preset variables of either constant fat, constant slow, decelerate or accelerate.

This way you can just type in a few numbers in to an excel spreadsheet and see for yourself.  This will really help you through that entire section of the book.

Answer 4

since velocity (speed) is the 1st derivitive of distance, it would be describing the slope of the d-t curve (distance is x-axis time is y-axis, slope=rise/run).  

Anyway, constant speed = 0 slope so it is a horizontal line.

increasing = positive slope so it would be a line going from the bottom left to the top right of the graph.

decreasing = negative slope, so it would be opposite of the increasing speed. top left to bottom right.

zero = infinite slope, so it would be a vertical line.