Question

A certain airport runway of length L allows planes to

Answer 1

The length of the new runway In terms of (L) is 4L.

Your question is incomplete, it seems your question is missing the following information below;

"In terms of (L) , what must be the length of the new runway?"

The given parameters;

• length of the runway, = L

• let the take off speed = V₁

For the newly designed planes;

the take off speed is double of the original = 2V₁

the acceleration for both take is constant = a

The take off speed for the given constant acceleration is given as;

$v^2 = u^2 + 2as\\\\v^2 = 0 + 2as\\\\v^2 = 2as\\\\a = \frac{v^2}{2s}$

The length of the new runway In terms of (L) is calculated as follows;

$a = \frac{v_1^2}{2s_1} = \frac{v_2^2}{2s_2} \\\\substitute \ the \ corresponding \ values \ for \ initial \ acceleration \ and \ new \\acceleration\\\\\frac{v_1^2}{2L} = \frac{(2v_1)^2}{2s_2}\\\\2s_2v_1^2 = 2L(4v_1^2)\\\\s_2 = \frac{2L(4v_1^2)}{2v_1^2} = \frac{8Lv_1^2}{2v_1^2} = 4L$

Thus, the length of the new runway In terms of (L) is 4L.

Learn more here: brainly.com/question/15206976