The vertical profile of a survey drone is modeled by a curve $C$ with equation $h = f (t)$ , $t > 0$ , where $h$ is the altitude in meters and $t$ is the time in seconds. The drone passes through the point $P (4, 10)$ .

Given that $f′(t)=3t+2−16t2\displaystyle f'(t) = 3\sqrt{t} + 2 - \frac{16}{t^2}$

Find the equation of the normal to $C$ at $P$ . Write your answer in the form $a t + bh + c = 0$ , where $a$ , $b$ and $c$ are integers to be found.

Given that $f′(t)=3t+2−16t2\displaystyle f'(t) = 3\sqrt{t} + 2 - \frac{16}{t^2}$

Find the equation of the normal to $C$ at $P$ . Write your answer in the form $a t + bh + c = 0$ , where $a$ , $b$ and $c$ are integers to be found.

1 Unit 1: Pure Mathematics A

Question 382

Markscheme

1 Unit 1: Pure Mathematics A

Question 382

Markscheme

1 Unit 1: Pure Mathematics A

Question 382

1 Unit 1: Pure Mathematics A Questions

1 Unit 1: Pure Mathematics A

Question 382

1 Unit 1: Pure Mathematics A Questions