Question

Approximate distance driven (Calculus)

Answer 1

I have a project for Calculus which required me to drive for 8 minutes while writing down the speed every 30 seconds.

Answer 2

1. 20 mph
2. 34 mph
3. 43 mph
4. 0 mph I was at a stop
5. 27 mph
6. 30 mph
7. 47 mph
8. 66 mph
9. 64 mph
10. 65 mph
11. 54 mph
12. 24 mph
13. 17 mph
14. 25 mph
15. 27 mph
16. 36 mph

Answer 3

Graph there. Can anyone tell me how to calculate the distance driven?

Answer 4

yeah, it is a real pain in the arse

Answer 5

Tell me about it. ;___;

Answer 6

one minute is one sixtieth of an hour, so 30 seconds is \(\frac{1}{120}\) of an hour

Answer 7

Okay

Answer 8

so your quite annoying job is to multiply each of these numbers by \(\frac{1}{120}\) and add them up

Answer 9

or i guess you can just add them up and divide the total by \(120\)

Answer 10

Ahhhhh. Okay. I think I can do this. I was reading instructions online and it was telling me to find the velocity function and I got so confused.

Answer 11

not much of an exercise really, just a bunch of buttons on a calculator

Answer 12

Yeah. wasn't as bad as I thought it would be. What can I say? Mondays, you know?

Answer 13

mph is the velocity
you know only specific values, so it is a peicewise function in this example
you do not have a formula for it, just a bunch of values

Answer 14

That makes sense. Thanks!

Answer 15

busy work is all, but there is a point here, namely that you get the distance travelled by adding up a bunch of little rectangles with base \(\frac{1}{120}\) and height the velcocity
getting you ready to integrate

Answer 16

yw