Question

PLEASE HELP In this graph of displacement vs time http://i.imgur.com/uoHGw.png
A. the acceleration and velocity are always positive
B. the velocity is first negative and then positive
C. the acceleration is first negative and then positive
D. the acceleration is positive, and the velocity changes from negative to positive. I think its b

Answer 1

its not b. think of how the slope changes, is it changing positivitly or negatively. then think of how the graph of the change of slope would change (think of how the derivitive"s slope would change) is it changing positive or negitive)

Answer 2

Your function looks somewhat exponential--are you familiar with the derivatives of such functions? Usually the rule is, once increasing, always increasing, for any nth derivative.

Answer 3

at first I had D and told me I was wrong. I know that the velocity is positive and increasing. I know B is wrong. I was about to pick A but it looks wrong

Answer 4

if this function is always positive then what does that make the derivative? if the derivative is always positive than what does that make the 2nd derivative?

Answer 5

Edutopia's right