Match each graph with one of the following statements:

Question

The graphs represent the position s of a particle as a function of time t. Match each graph with one of the following statements

:

___ - speeding up

___- speeding up and then slowing down

___ - slowing down

___ - slowing down and then speeding up

Answer 1

D,B,A,C, in that order

D speeding up

B speeding up, then slowing down

A slowing down

C slowing down then speeding up

A concave down f'(t) decreasing, f"(t)<0

B concave up, then down, f'(t) increasing then decreasing, f"(t)>0, then<0

C concave down then up, f'(t) decreasing, then increasing, f"(t)<0, then >0

D concave up f'(t) increasing, f"(t)>0