A rocket is launched from a tower. The height of the rocket, y in feet, is related to the

Mathematics

1 answer:

natta225 [31]2 years ago

3 0

Answer:

Step-by-step explanation:

dy/dx = -32x + 200

maximum height when dy/dx = 0

-32x + 200 = 0

x = 6.25 seconds

y = -16·6.25² + 200·6.25 + 82 = 707 feet

You might be interested in

Which of the following equations represents the perpendicular bisector of WX graphed below?

kotykmax [81]

The coordinates of the 2 given points are W(-5, 2), and X(5, -4).

First, we find the midpoint M using the midpoint formula:

$\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )= (\frac{-5+5}{2}, \frac{2+(-4)}{2} )=(0, -1).$

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.

The slope of WX is $\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5}$ .

Thus, the slope n of the perpendicular line is $\displaystyle{ \frac{5}{3}$ .

The equation of the line with slope $\displaystyle{ n= \frac{5}{3}$ containing the point M(0, -1) is given by:

$\displaystyle{ y-(-1)=\frac{5}{3}(x-0)$

$\displaystyle{ y+1= \frac{5}{3}x$

$\displaystyle{ 3y+3=5x$

$\displaystyle{ 5x-3y-3=0$

Answer: 5x-3y-3=0

8 0

3 years ago

If g(x)=f(1/3x) which statement is true

uysha [10]

Answer:

the graph of g(x) is horizontally stretched by a factor of 3

Step-by-step explanation:

8 0

3 years ago

If 2 + 2 = 4 then what does 2 + 3 make?

Goryan [66]

If two plus two is four therefore two plus three is in fact five.