Question

This graph shows velocity vs. time. What does the slope of the line represent?



A.
acceleration

B.
speed

C.
force

D.
distance

Answer 1

@iambatman @mathmate @dan815

Answer 2

What is the quantity on the x-axis (independent variable)?

Answer 3

@ShayleeCutie are you there?

Answer 4

hi sorry i was doing something

Answer 5

so can u help me now

Answer 6

@mathmate

Answer 7

You have a velocity time graph in front of you, right?
What variables does the x-axis represent, and the y-axis?

Answer 8

the x is time and the y is velocity

Answer 9

Good!

Answer 10

Have you done calculus 1 yet?

Answer 11

@ShayleeCutie
Are you still there, or you forgot about me? lol

Answer 12

no i haven't

Answer 13

i don't have that much time left can we please hurry up

Answer 14

@mathmate

Answer 15

Sorry, if you're expecting to get an answer without you understanding it, you've got the wrong person!

Answer 16

no i mean can u help me understand

Answer 17

Also, if only you were on this thread all the time, we would have finished it.

Answer 18

Do you know what does a slope represent?

Answer 19

no

Answer 20

I just drew you a picture to show what a "slope" means.
Is that better?

Answer 21

ok so how do i figure out the answer

Answer 22

In an x-y plot, the slope represents \(dfrac{change in y}{change in x}\)

Answer 23

ya

Answer 24

ok

Answer 25

Sorry, should be\(dfrac{change~ in~ y}{change~ in~ x}\)
ok so far

Answer 26

or what is speed?

Answer 27

ok ya

Answer 28

speed is how fast or slow something is going

Answer 29

I am asking if you can tell me what is speed?
and what is acceleration?

Answer 30

Say, what is the unit for speed, and for velocity?

Answer 31

slope=\(\dfrac{change~in~y}{change~in~x}\)

Answer 32

The slope I just defined is for an x-y graph.
Since you have a velocity-time graph, replace y by velocity, and x by time in the definition of slope.

Answer 33

idk

Answer 34

What do you get?

Answer 35

First, replace y by velocity:
\(\dfrac{change~in~y}{change~in~x}\)
then replace x by time.

Answer 36

i dont uderstand how this connects to finding the answer

Answer 37

If you replace them as I suggested, you'd be almost done.
But it's all up to you.

Answer 38

is that right ^

Answer 39

Remember, slope on an x-y graph is the rate of change of y per unit x.
The replacement as suggest above will help you find out what the slope of a velocity-time graph represents, that's how it connects to your answer.

Answer 40

Almost, but you left out "change in" ...

Answer 41

Now go back to your physics notes to find out what
\(\dfrac{change~in~velocity}{change~in~time}\)
means. It should match one of the answers.

Answer 42

i don't have any notes on that

Answer 43

hello

Answer 44

is it d?

Answer 45

@mathmate

Answer 46

is it d

Answer 47

it is A. Acceleration