Question

*Given the velocity curve, at which time (t) is the speed of the car the greatest
*What is the net distance traveled by the car over the time interval 0≤t≤8
*What is the total distance traveled by the car over the time interval 0≤t≤8

Answer 1

what are the axis?

Answer 2

There is time and speed

Answer 3

time is on x speed is on y I assume

Answer 4

so maximum speed is 3 which is at time 4.

Answer 5

how do you know that?

Answer 6

on y axis its is the speed and time on x axis, right?

Answer 7

it doesn't say exactly but I am assuming because time can't be negative

Answer 8

i think x axis is time but y axis is not speed but displacement.

Answer 9

okay

Answer 10

see if y axis is speed then max seed or max value that you have on y axis is 3 therefor 3 is the maximum speed and it is on time 4.

Answer 11

okay why does the questions make a point of including the "velocity curve"

Answer 12

so i think it is displacement vs time curve where slope gives the velocity

Answer 13

between 1-2 on the x would be the velocity curve?

Answer 14

another question "What is the net distance traveled by the car over the time interval 0≤ t≤8

Answer 15

maximum velocity is at 0 and as you approach 2 from behind

Answer 16

^ right yeah I get that

Answer 17

net distance traveled is the length of the blue graph.
which you can calculate in parts

Answer 18

okay, but I know the answer includes a pi symbol and I don't know why