Faraz R. answered • 02/01/15

Tutor

4.9
(473)
RANKED TOP 1% IN 2019 AP SAT SUBJECT TEST PREP MATH AND SCIENCE TUTOR.

Ok this is what we know.

We are 4000 ft from the base. That is a constant. We also know the rocket has risen 3000 ft.

4000

^{2}+ 3000^{2}= c^{2}Therefore c = 5000 (Pythagorean)Now let's look at our changes:

it is vertically changing at 6000 ft/s so that means we will have a dy/dt. It is also changing in the hypotenuse because it is rising vertically.

So we will again use this formula and derive. We know the X direction is constant

so we get 4000

^{2}+ y^{2}= c^{2}We will derive0 + 2y dy/dt = 2c dc/dt We are solving for dc/dt

2 (600) (3000) = 2(5000) dc/dt

dc/dt = 360