A profile for a streamlined racing drone winglet, symmetric about the $x$ -axis, is designed using a Cartesian coordinate system. The upper boundary of the winglet is defined by the parametric equations:

x = -1.6t^2

y = 16t - 0.8t^2

for $\le t \le 20$ , where $x\,$ and $y\,$ are measured in millimetres.

Determine the total length of the winglet along the $x$ -axis.

Find an expression for $dydx\displaystyle \frac{dy}{dx}$ in terms of $t$ .

Hence, show that the maximum width of the winglet is exactly one-quarter of its total length.

x = -1.6t^2

y = 16t - 0.8t^2

for $\le t \le 20$ , where $x\,$ and $y\,$ are measured in millimetres.

Determine the total length of the winglet along the $x$ -axis.

Find an expression for $dydx\displaystyle \frac{dy}{dx}$ in terms of $t$ .

Hence, show that the maximum width of the winglet is exactly one-quarter of its total length.

Differentiation

Question 575

Markscheme

Differentiation

Question 575

Markscheme

Differentiation

Question 575

Differentiation Questions

Differentiation

Question 575

Differentiation Questions