csat-suneung 2021 Q14

csat-suneung · South-Korea · csat__math-humanities 4 marks Variable acceleration (1D) Compute total distance traveled over an interval
The velocity $v ( t )$ of a point P moving on a number line at time $t ( t \geq 0 )$ is $$v ( t ) = 2 t - 6$$ If the distance traveled by point P from time $t = 3$ to time $t = k$ ($k > 3$) is 25, what is the value of the constant $k$? [4 points]
(1) 6
(2) 7
(3) 8
(4) 9
(5) 10
The velocity $v ( t )$ of a point P moving on a number line at time $t ( t \geq 0 )$ is
$$v ( t ) = 2 t - 6$$
If the distance traveled by point P from time $t = 3$ to time $t = k$ ($k > 3$) is 25, what is the value of the constant $k$? [4 points]\\
(1) 6\\
(2) 7\\
(3) 8\\
(4) 9\\
(5) 10