Question

The function shown below gives the position of a particle at time t. http://www.webassign.net/userimages/2.5.020.jpg?db=v4net&id=53223
a) At what labeled points is the acceleration of the particle negative? (Select all that apply.)
b) At what labeled points is the position of the particle increasing? (Select all that apply.)
c) At what labeled points is the velocity of the particle increasing? (Select all that apply.)

Answer 1

what grade is this???????/

Answer 2

college freshmen calc 1

Answer 3

oh... nevermind srry i cant help u but did u try google im only in 8th grade

Answer 4

t2 , t1

Answer 5

t3 for rest 2

Answer 6

wait, so a) t2, t1 b) t3 and c) t3?

Answer 7

Try it out, do you have the answer ?

Answer 8

well i only have one try haha so i would rather be sure

Answer 9

well what is your answer, I am not allowed to give answers to homework question

Answer 10

i can only guide you through

Answer 11

for sure a) t3, t4, t5
b) t2, t3

and for c) i know that if f(x) is concave up f'(x) is increasing, i tried t1 t2 but i got it wrong also tried just t2 and got it wrong and i also tried "none of these and got it wrong.

Answer 12

so is the answer for c) is t1, t2 and t5 or t2 and t5? can someone please explain it please

Answer 13

answer for c) is t1, t2 and t5

Answer 14

Attention! There is a subtle change in concavity between t4 and t5. In this case if you get stuck with question a) & c), this would explain it. In other words, t5 is landed on the interval where is concave up, which means its accelration is positive and thus its velocity has to be increasing. Try it! it worked.