Estimate the distance...NEED HELP ASAP!

[nikchic5]

The velocity graph of a car accelerating from rest to a speed of 20 ft/s over a period of 30 seconds is shown. Estimate the distance traveled during this period. Use midpoints and equal subintervals.

There is a graph that starts at x=0 and goes upward towards (30,20) the x-axis is the time in seconds and the y-axis is the velocity in ft/s.

I really need help with this one!!! Thanks so much!

 

[daon]

The velocity graph of a car accelerating from rest to a speed of 20 ft/s over a period of 30 seconds is shown. Estimate the distance traveled during this period. Use midpoints and equal subintervals.

There is a graph that starts at x=0 and goes upward towards (30,20) the x-axis is the time in seconds and the y-axis is the velocity in ft/s.

I really need help with this one!!! Thanks so much!

Can't see your graph, but I assuming it is linear (constant acceleration). The area underneath the graph will represent the distance traveled. I would break it up into three or more subintervals, i.e.

i1 -> 0-10
i2 -> 10-20
i3 -> 20-30


Then use the midpoints of the intervals to calculate each of these "rectangle's" areas.

A1 = 10 * f(5)
A2 = 10 * f(15)
A3 = 10 * f(25)

distance = \(\displaystyle \sum\)A = A1 + A2 + A3

Note: the more intervals you break this up into, the more accurate your estimation will be.