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dalvyx [7]
3 years ago
12

If a projectile is launched vertically upward from 800 ft above the ground with an initial velocity of 80 ft per second, its hei

ght in feet t seconds after launch is given by s=−16t2+80t+800
.

The projectile will take _____ seconds to return to the ground.

After _______ seconds, the projectile will be 576 feet above the ground.
Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

Hello!

10 seconds to return to the ground.

7 seconds to reach 576 feet above the ground.

Find the amount of time taken to reach the ground by setting the equation equal to 0:

0 = -16t² + 80t + 800

Factor out -16 from the equation:

0 = -16(t² - 5t - 50)

Factor the terms inside of the parenthesis:

0 = -16(t - 10)(t + 5)

Find the zeros:

t - 10 = 0

t = 10

t + 5 = 0

t = -5

Time can only be positive in this instance, so the correct answer is 10 sec.

Find the time by substituting in 576 for the height:

576 = -16t² + 80t + 800

Subtract 800 from both sides:

-224 = -16t² + 80t

Rearrange:

0 = -16t² + 80t + 224

Simplify:

0 = -16(t² - 5t - 14)

0 = -16(t - 7)(t + 2)

t = 7 seconds.

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4. Determine the circumference of a circle with a radius that is 14.2 yds. Use 3.14 for π. Round to the nearest tenth.
Vladimir79 [104]

Answer:

The circumference would be around 90 yards.

Step-by-step explanation:

C = 2πr

r = 14.2

14.2 × 3.14 = 44.588

44.588 × 2 = 89.176

89.176 ≈ 90

C = 90

7 0
3 years ago
Una empresa comercial vende automóviles cuyo precio es de S/. 60 000, con una cuota inicial del 20%, para cancelar el saldo en 3
Inessa05 [86]

Responder:

2560

Explicación paso a paso:

Dado lo siguiente:

Precio del automóvil = 60000

Cuota inicial = 20% del precio = (0.2 * 60000 = 12,000

Saldo = (60000 - 12000) = 48000

La empresa cobra un interés simple del 12% cada 6 meses

Periodo de pago = 30 meses / 6 = 5 periodos

Interés simple: p * r * t

= 48000 * 0,12 * 5 = 28800

Por lo tanto, monto total a reembolsar, incluidos los intereses:

Balance + 28800; 48000 + 28800 = 76800

El reembolso mensual es fijo;

Por lo tanto,

76800/30 = 2560

4 0
3 years ago
Alternate Interior, Alternate Exterior, Corresponding Angles - Show Work
Tamiku [17]
Which part of the question?
4 0
2 years ago
How many different combination of numbers can you make from 7 numbers?
jekas [21]
It would be 36 to the 7 power = 36’7. Hope this helps!
3 0
3 years ago
How many meters are in3,500
podryga [215]
3500 ft * 0.3048 m = 1066.8 m
1ft
Or for kilometers is 1000 meters
7 0
3 years ago
Read 2 more answers
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