Step-by-step explanation:
∆=3*6=18
[]=5*15=75
75+18=93 in squared
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
Answer:
The cost of 1kg jam is $7 and the cost of 1kg butter is $4
Step-by-step explanation:
Let jam = x
butter = y
3x + 2y = 29 -----(1)
6x + 3y = 54 -----(2)
(1)×2 ->
6x + 4y = 58 -----(3)
(3)-(2) ->
y = 4
suby=4into(2)
6x + 3(4) = 54
6x = 42
x = 7
(Correct me if i am wrong)
You can soustracte the first or the second one
and y cancel
x = 6
now you put 6 in x
you can take the first or the second one
6 - y = -2
6 - y = -2
y = -8
Answer:
B
Step-by-step explanation:
For a polynomial , the behaviour as x gets large is determined by the term of greatest degree,
f(x) = - 2
- x³ + 3
Is of even degree with a negative leading coefficient , then
f(x) → - ∞ as x → + ∞ and f(x) → - ∞ as x → - ∞
