Question

The table below shows the distance d(t) in meters that an object travels in t seconds:
(will include table below)

What is the average rate of change of d(t) between 3 seconds and 5 seconds, and what does it represent?

A. 59.5 m/s represents average speed of object between 3 secs and 5 secs

B. 112 m/s represents average speed of object between 3 secs and 5 secs

C. 112 m/s represents average distance object traveled between 3 secs and 5 secs

D. 59.5 m/s represents average distance object traveled between 3 secs and 5 secs

I don't really understand how to solve this.

Answer 1

Look up "average rate of change" and note how it is calculated.

What is the distance traveled as time varies from 3 to 5 seconds? This info is easily calculated from info presented in the given table.

Answer 2

What is the time increment from 3 to 5 sec?

Answer 3

It would be 224, and then you divide it by 2 right (5-3 = 2)?

Answer 4

The ave. rate of change between 3 and 5 sec is the quantity

(change in distance) / (change in time) with dimensions meters/seconds

Answer 5

So 112 and distance traveled?

Answer 6

Not quite. What is the difference in the distance traveled, from 3 to 5 seconds?

Answer 7

224?

Answer 8

Note: Do not use the distance associated with 4 sec. Y ou've done this twice. No.

Rather, please subtract 126 from 350. 126 meters is the distance trav. after 3 sec, and 350 is the dist. trav. after 5 sec.

Answer 9

(350 m - 126 m) is the dist. traveled from time 3 sec to time 5 sec.

Write the average rate of change as

dist traveled during the period 3 to 5 sec
-----------------------------------
Length of time interval

Answer 10

So you do 350 - 126?

Answer 11

Yes, as explained in my previous post.

Answer 12

Sincere apologies: your 224 m was correct; I was wrong.

Answer 13

Oh ok, I was confused for a second.

Answer 14

So,
the change in distance
divided by the change in time

is what?

This is your average rate of change over the period 3 to 5 seconds.

Answer 15

Please show your work. What is this average rate of change?

Answer 16

112 would be the average change.

(350 - 126) 224
---------- = -----
(5 - 3) 2

Answer 17

which would equal to 112

Answer 18

yes. be sure to include the units of measurement.

I'd like to see (224 meters) / (2 seconds) = 112 m/s.

Answer 19

Thank you so much!

Answer 20

Happy to work with you. But I have to get off the Internet right now. You're welcome!