Question

What is the instantaneous velocity v of the particle at t=10.0s?

Answer 1

16

Answer 2

how you get that?

Answer 3

at 10 s, it looks like the corresponding y value on the graph is about 6 seconds

Answer 4

so you just add those two?

Answer 5

i got it wrong

Answer 6

Do you know how to read a graph?

Answer 7

isn't there a formula i have to use to solve it

Answer 8

yes there is. Have you learned derivatives ?

Answer 9

yea

Answer 10

kk. So what you do is find an equation for tht line. u know how?

Answer 11

no

Answer 12

get two points of from tht graph first and then find the slope

Answer 13

do it now

Answer 14

so like (0,10)

Answer 15

yes and one more?

Answer 16

(25,25)???

Answer 17

yea

Answer 18

so now u have two points, whats the slope?

Answer 19

0.6

Answer 20

so like the slope is 3/5

Answer 21

3/5 = 0.6

Answer 22

yea

Answer 23

ok so next use the slope intercept formula

Answer 24

y = mx + b, where m is the slope

Answer 25

now find another point and that will be ur y and x in the formula

Answer 26

plug everything in and solve fro b and then u have ur line equation

Answer 27

what's the equation??

Answer 28

y=3/5(x)+10

Answer 29

ok very gooodd

Answer 30

now whats the first derivative of that equationnn??

Answer 31

3/5

Answer 32

3/5 m/s. that is ur answer

Answer 33

because its linear, the velocity of the object moving is uniform meaning there is no acceleration or change n velocity. THE VELOCITY IS CONSTANT

Answer 34

thanks