A) The longest horizontal distance is reached at 45 degrees angle. This is true for any projectile launch.

B) First, calculate fligth time (using the vertical motion) and then calculate the horizontal movement.

Flight time = 2* ascendent time

ascendent time => final vertical velocity, Vy, = 0

sin(45) = Voy / Vo => Voy = Vosin(45) = 25.5 m/s * (√2) / 2 = 18.03 m/s

Vy = Voy - gt = 0 => Voy = gt = t = Voy / g

Use g = 10 m/s^ (it is an aproximation, because the actual value is about 9.81 m/s^2 depending on the latitud)

t = 18.03 m/s / 10 m/s^2 = 1.83 s

This is the ascendant time going upward.

The flight time is 2*1.83 = 3.66 s

Horizontal motion

Horizontal velocity = Vx = constant = Vox = Vo*cos(45) = 18.03 m/s

Vx = x / t => x = Vx*t

Horizontal distance = xmax = 18.03m/s*3.66 s = 65.99 m

c) The time the ballon will be in the air was calculated in the part B, it is 18.03 s

5 0

3 years ago

How many buttons did Anne sew?<br> Rate: 8 buttons per minute Time: 7 minutes

olganol [36]

Answer:

42 buttons

Step-by-step explanation:

8 x 7 = 42

42 buttons

Hope that helped have a nice day

Can I have brainliest btw?

8 0

3 years ago

Read 2 more answers

Evaluate j/k -0.2k when j =25 and k = 5

denis-greek [22]

When you have an equation that has variables and you know the value of those variables, just plug it it. So plugging the vaules we get
$\frac{25}{5}-\frac{1}{5}5$
Just evaluating we get 4

5 0

3 years ago

Read 2 more answers

Which equation would you use to find how high the bird is flying

lisov135 [29]

Hi there! The fourth answer is correct.

In the picture we have to deal with facts:
1. The angle of 45°
2. The length of the opposite side
3. The length of the adjacent side.

Since we have to use the opposite and the adjacent side, we have to use the tangent of the angle. In a formula:
$\tan( \alpha ) = \frac{opposite}{adjecent}$

Filling in this formula, brings us to the following answer.
$\tan(45) = \frac{x}{1100}$

6 0

3 years ago