Consider these statements written in ordinary language:
a the speed of the car is proportional to the distance it has traveled.
b the car is speeding up.
c the car is slowing down.
d the car always travels the same distance in the same time interval.
e we are driving backwards.
f our acceleration is decreasing. denoting by s(t) s(t) the distance covered by the car at time t t , and letting k k denote a constant, match these statements with the following mathematical statements by entering the letters a through f on the appropriate boxes:
s ′′ < 0. s″< 0.
s ′ s′ is constant
s ′ < 0 s′< 0
s ′′′ < 0 s‴< 0
s ′′ > 0 s″> 0
s ′ =ks s′=ks