The velocity, $v (t)$ in $s−1\text{m s}^{-1}$ , of a high-altitude research drone during a specific phase of its descent is modeled by the function

\frac{3t^2 + 14t + 10}{t + 4}, \quad t \ge 0

where $t$ is the time in seconds from the start of the observation.

Express $v (t)$ in the form

\frac{C}{t + 4}

where $A$ , $B$ , and $C$ are integers to be determined.

By using algebraic integration, determine the total distance traveled by the drone between $t = 0$ and $t = 8$ . Give your answer in the form $\ln 3$ , where $p$ and $q$ are integers.

The velocity, $v (t)$ in $s−1\text{m s}^{-1}$ , of a high-altitude research drone during a specific phase of its descent is modeled by the function

\frac{3t^2 + 14t + 10}{t + 4}, \quad t \ge 0

where $t$ is the time in seconds from the start of the observation.

Express $v (t)$ in the form

\frac{C}{t + 4}

where $A$ , $B$ , and $C$ are integers to be determined.

By using algebraic integration, determine the total distance traveled by the drone between $t = 0$ and $t = 8$ . Give your answer in the form $\ln 3$ , where $p$ and $q$ are integers.

1 Unit 1: Pure Mathematics A

Question 322

Markscheme

1 Unit 1: Pure Mathematics A

Question 322

Markscheme

1 Unit 1: Pure Mathematics A

Question 322

1 Unit 1: Pure Mathematics A Questions

1 Unit 1: Pure Mathematics A

Question 322

1 Unit 1: Pure Mathematics A Questions