a graph shows distance on the vertical axis and time on the horizontal axis.if the speed is steadily?

Question

increasing,what will the line representing speed look like on the graph?
a.it will be a straight diagonal line
b.it will be a straight line that has a very steep slope
c.it will be an irregular line with no pattern
d.it will be a curved line

Answer 1

We're not here to do homework for anyone, but just for edification of how thing work...

& Whoever wrote the question didn't know their math very well. I love that: a curved line.

That's an oxymoron. A line is straight by definition. It can't be curved. But yes. It will be D) a curve.

Consider:

If the car were at a steady speed of one mile per hour and we put distance on the Y axis and speed on the x axis (in hours). At hour one it would have moved 1 mile (1,1), at two hours, it would have moved two miles and two hours (2,2), and on and on ... until (n,n) at hour n (a[n] arbitrary hour ;o] ).

Now if it's constantly accelerating, what would the distance look like?

Let's say it's increasing by "one mile per hour" every hour. starting at one mile per hour from time zero (they got up to speed ebfore we started measuring).

This will be a roughshod example and probably not PRECISELY mathematically correct.

At one hour, it would have traveled approximately 1 mile (we'll just say they instantly accelerate each hour on the dot).

So, for the second mile they're traveling two miles per hour the whole way. But they've already traveled 1 mile. What's one mile plus two? Three miles total

So, we've got (1,1), and (2,3) for our first two points on the graph. For the third hour they're moving 3 miles per hour. So, we've got 3 hours down and 3 miles traveled the first 2 hours with 3 miles traveled the third hour. So we've got (3,6) continuing thepattern we add 4 miles and get (4,7) add 5 miles and get (5,12).

Try plotting these on a graph and see what the graph looks like. I'll bet it looks distinctly like a curve going upward toward infinty. Whereas a constant speed would look like a straight diagonal line as it covers the same amount of distance per the same amount of time. Whereas a decelerating object would have a curve that would rise sharply but then curve toward the right, approaching a maximum y value as it coasts to a stop.

Answer 2

It will be D. a curved line because the distance will keep growing faster and faster as the time goes.

Answer 3

letter d a curve

Answer 4

e. none of the above.