Question

Math Problem

Answer 1

anybody?

Answer 2

@collegekids
Are the graphs part of the question or your solution ??

Answer 3

no, they are simply there because nin requested them

Answer 4

I got 1.45 miles as an answer

Answer 5

What formula you used?
Lets say - find the distance traveled in 10s.

Answer 6

Im not entirely sure, I just found the average

Answer 7

and added them together

Answer 8

"...find the distance traveled in 10s..."

Answer 9

Okay, here is what i did

Answer 10

I added the average of the time to the speed and I got a total of 523.5

Answer 11

I then divided that by 10

Answer 12

multiplied by 100 and divided by 3600 for the number of seconds in an hour

Answer 13

And your final answer is ________ miles
??

Answer 14

1.45 miles

Answer 15

You mean to say - distance traveled in 10s is 1.45 miles ??

Answer 16

in 100 seconds

Answer 17

They want you to do a Reimann Sum, using the midpoint for \(x_i^*\).

Answer 18

The midpoint is n=5

Answer 19

Basically remember that: \[
\Delta x = x_f - x_i = \int\limits_0^{100}v\;dt \approx \sum_{i=1}^n v(t_i^*)\Delta t
\]And in this case: \[
t_i^* = \frac{t_i + t_{i-1}}{2}
\]Also \[
\Delta t = \frac{b-a}{n} = \frac{100-0}{5} = 20
\]

Answer 20

Well, I don't know what "Reimann Sum" or "midpoint rule" means (not good with terminology)

When "acceleration is constant"; we use the formula
average velocity = (initial velocity + final velocity)/2
See - http://openstudy.com/study#/updates/52ddf1cbe4b003c643a0f770

As the question is silent about the path through which the state is achieved; we can take acceleration to be constant for each interval.

Hence distance traveled in each interval = Average velocity * Time period
I think you can do the rest. :)