Science:Math Exam Resources/Courses/MATH110/April 2019/Question 01 (b)/Statement

Suppose the position (in metres) of an object moving in a straight line at time $t$ (in seconds) is given by a function $f(t)$ such that $f'(1)=2$ and $f''(1)=-1$ , then

(a) the object’s velocity at $t=1$ is 2 m/s and the object is speeding up.

(b) the object’s velocity at $t=1$ is 2 m/s and the object is slowing down.

(c) the object’s velocity at $t=1$ is −1 m/s and the object is speeding up.

(d) the object’s velocity at $t=1$ is −1 m/s and the object is slowing down.