1. b = $95.94 / 6
= $15.99
t = $15.99 / 20
= $0.80
2. A: $1.28 / 8 = $0.16 per oz
B: $1.68 / 12 = $0.14 per oz
Difference: $0.02 per oz
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:
C) 8
Step-by-step explanation:
Consecutive angles are equal to 180. So 22x+4+180. Solve that to get x=8. Hope I helped and post more questions :)
Answer:
$3
Step-by-step explanation:
Given data
Let the cost of drinks be x
and the cost of hotdogs be y
so
3x+4y=15-------1
also
3x+y= 10.5------2
solve 1 and 2
3x+4y=15
-3x+y= 10.5
3y= 4.5
divide both sides by 3
y= 4.5/3
y= $1.5
Put y= 1.5 in 1
3x+4(1.5)=15
3x+6= 15
3x=15-6
3x= 9
x= 9/3
x= $3
Hence the cost of a drink is $3