1.2 Algebra and Functions

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Question 152

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.

[3]

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.

[4]

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.

1.2 Algebra and Functions

Question 152

Markscheme

1.2 Algebra and Functions

Question 152

Markscheme

1.2 Algebra and Functions

Question 152

1.2 Algebra and Functions Questions

1.2 Algebra and Functions

Question 152

1.2 Algebra and Functions Questions