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3 years ago

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3.En una reunión de trabajo escolar se encuentran 5 estudiantes de quinto semestre, cuya edad promedio es de 18 años.

1 answer:

Keith_Richards [23]3 years ago

7 0

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An archer fires an arrow at a castle 230 m away. The arrow is in flight for 6 seconds, then hits the wall of the castle and stic

Vika [28.1K]

Answer:

(a). The initial speed of the arrow is 49.96 m/s.

(b). The angle is 39.90°.

Explanation:

Given that,

Horizontal distance = 230 m

Time t = 6 sec

Vertical distance = 16 m

We need to calculate the horizontal component

Using formula of horizontal component

$R =u\cos\theta t$

Put the value into the formula

$\dfrac{230}{6} = u\cos\theta$

$u\cos\theta=38.33$ .....(I)

We need to calculate the height

Using vertical component

$H=u\sin\theta t-\dfrac{1}{2}gt^2$

Put the value in the equation

$16 =u\sin\theta\times6-\dfrac{1}{2}\times9.8\times6^2$

$u\sin\theta=\dfrac{16+9.8\times18}{6}$

$u\sin\theta=32.06$ .....(II)

Dividing equation (II) and (I)

$\dfrac{u\sin\theta}{u\cos\theta}=\dfrac{32.06}{38.33}$

$\tan\theta=0.8364$

$\theta=\tan^{-1}0.8364$

$\theta=39.90^{\circ}$

(a). We need to calculate the initial speed

Using equation (I)

$u\cos\theta\times t=38.33$

Put the value into the formula

$u =\dfrac{230}{6\times\cos39.90}$

$u=49.96\ m/s$

(b). We have already calculate the angle.

Hence, (a). The initial speed of the arrow is 49.96 m/s.

(b). The angle is 39.90°.

5 0

3 years ago

A river flows due east at 1.50 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant v

monitta

Answer:

a

$u = 10.11 \ m/s$

b

$x = 44.996 \ m$

Explanation:

From the question we are told that

The velocity of the river due east is $v = 1.150i \ m /s$

The velocity of the boat due north is $v_1 = 10j \ m/ s$

The width of the river is $d = 300 \ m$

Generally the velocity of the boat relative to the shore

$u = \sqrt{v^2 + v_1^2}$

=> $u = \sqrt{1.50 ^2 + 10^2}$

=> $u = 10.11 \ m/s$

Generally direction of the boat relative to the shore is mathematically represented as

$tan \theta = \frac{v}{v_1}$

=> $\theta = tan^{-1}[ \frac{v}{v_1}]$

=> $\theta = tan^{-1}[ \frac{1.5}{10}]$

=> $\theta = 8.53^o$

Generally the distance covered by the boat in the direction of flow of the river before reaching the north shore is mathematically represented as

$x = d* tan(\theta )$

=> $x = 300 * tan(8.53)$

=> $x = 44.996 \ m$

3 0

3 years ago

Which is a characteristic of all ions?

zzz [600]

Answer:>

Explanation:

All ionic compounds have high melting and boiling points

6 0

3 years ago

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Microwave ovens emit microwave energy with a wavelength of 12.3 cm. What is the energy of exactly one photon of this microwave r

Valentin [98]

The energy of a photon is proportional to the speed of light and inversely proportional to the wavelength. The constant of proportionality is Planck's constant, <span>6.626 * 10^-34 Js</span>

E = hc/ {wavelength}
E = [ 6.626 * 10^-34 Js * 2.997 * 10^8 m/s ] / 0.124 m
E = 1.60 * 10^-24 J

4 0

3 years ago

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PLEASEE HELP WILLL GIVE 15+ POINTS AND BRAINLIEST PLEASEEEEEEEEEEEEEEEEEEEEEEE

Dovator [93]

um you can't really get help on this it's mostly you sorry

4 0

3 years ago