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3 years ago

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If an object is projected vertically upward from ground level with an initial velocity of 320 ft/sec, then its distance s above

the ground after t seconds is given by s=-16t^2+320t. For what values of t will the object be more than 1536 feet above the ground?

2 answers:

PolarNik [594]3 years ago

6 0

8<t<12 would be your answer buddy :)

slavikrds [6]3 years ago

3 0

T>8 but less than 12

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An arrow is launched upward with a velocity of

anyanavicka [17]

Answer:

Step-by-step explanation:

The velocity of the arrow when it was launched upwards is 320 feet per second. The height of the platform from which it was launched is 50 ft

This means that the arrow is already 50 feets from the ground before moving upwards.

The height that it attains on moving from 50 feets will be determined by Newton's formula of motion.

v^2 = u^2 + 2as

u = initial velocity = 320 feet per second.

1 feet per second = 0.305 meters per second

320 feet per second = 320× 0.305

= 97.6 feets per second

a = acceleration due to gravity =

- 32.17405 feet/second^2 because the arrow is moving upwards)

s =maximum height of the arrow

v = final velocity = 0 feet/second

Substituting into the equation,

0^2 = 97.6^2 + 2×- 32.17405 × s

0 = 9525.76 - 64.3481s

64.3481s = 9525.76

s = 9525.76/64.3481 = 148.03 feets

Total height from the ground would be

148.03 + 50 = 198.03 feets

5 0

3 years ago

The smallest side of a 30-60-90

Aleonysh [2.5K]

Answer: A 30-60-90 triangle is a special right triangle (a right triangle being any triangle that contains a 90 degree angle) that always has degree angles of 30 degrees, 60 degrees, and 90 degrees. Because it is a special triangle, it also has side length values which are always in a consistent relationship with one another.

The basic 30-60-90 triangle ratio is:

Side opposite the 30° angle: x

Side opposite the 60° angle: x*√3

Side opposite the 90° angle: 2x

Step-by-step explanation: Brainlyest please

4 0

3 years ago

If h(x)=0 then does h(<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="absmiddle

PSYCHO15rus [73]

Answer:

true

Step-by-step explanation:

8 0

3 years ago

the quadratic p(x)=.65x squared - .047x +2 models the population p(x) in thousands for a species of fish in a local pond, x year

ivanzaharov [21]

Answer:

2007

Step-by-step explanation:

we have

$p(x)=0.65x^{2} -0.047x+2$

This is a vertical parabola open upward

The vertex represent a minimum

p(x) is the population in thousands for a species of fish

x is the number of years since 1997

Remember that p(x) is in thousands

so

If the population reach 66,530 fish

then

the value of p(x) is equal to

p(x)=66.53

substitute in the quadratic equation

$66.53=0.65x^{2} -0.047x+2$

$0.65x^{2} -0.047x+2-66.53=0$

$0.65x^{2} -0.047x-64.53=0$

Solve the quadratic equation by graphing

The solution is x=10 years

see the attached figure

therefore

Find the year

Adds 10 years to 1997

1997+10=2007

7 0

3 years ago

I got this question wrong and I’m trying to correct it but i don’t know how it’s wrong or what the right answer is.

Korvikt [17]

Answer:

SAS

Step-by-step explanation:

SSS, as you used, is incorrect because we only have two of the sides. Luckily, if we look at our theorems, one of them includes two sides!

These triangles are prooven similar with SAS. We have to two of the sides that are similar (as you have showed with your work in the photo), and we also have an angle. This angle comes from the vertical angles that show up as our triangles share a point.

I hope this helps, have a nice day! :D

3 0

3 years ago