Answer:
a)  y= 3.5 10³ m, b)   t = 64 s
Explanation:
a) For this exercise we use the vertical launch kinematics equation
Stage 1
           y₁ = y₀ + v₀ t + ½ a t²
           y₁ = 0 + 0 + ½ a₁ t²
Let's calculate
          y₁ = ½ 16 10²
          y₁ = 800 m
At the end of this stage it has a speed
         v₁ = vo + a₁ t₁
         v₁ = 0 + 16 10
         v₁ = 160 m / s
Stage 2
         y₂ = y₁ + v₁ (t-t₀) + ½ a₂ (t-t₀)²
         y₂ = 800 + 150 5 + ½ 11 5²
         y₂ = 1092.5 m
Speed is
         v₂ = v₁ + a₂ t
         v₂ = 160 + 11 5
         v₂ = 215 m / s
The rocket continues to follow until the speed reaches zero (v₃ = 0)
          v₃² = v₂² - 2 g y₃
          0 = v₂² - 2g y₃
          y₃ = v₂² / 2g
          y₃ = 215²/2 9.8
          y₃ = 2358.4 m
The total height is
           y = y₃ + y₂
           y = 2358.4 + 1092.5
           y = 3450.9 m
            y= 3.5 10³ m
b) Flight time is the time to go up plus the time to go down
Let's look for the time of stage 3
           v₃ = v₂ - g t₃
           v₃ = 0
           t₃ = v₂ / g
           t₃ = 215 / 9.8
           t₃ = 21.94 s
The time to climb is
            = t₁ + t₂ + t₃
 = t₁ + t₂ + t₃
           t_{s} = 10+ 5+ 21.94
           t_{s} = 36.94 s
The time to descend from the maximum height is
           y = v₀ t - ½ g t²
When it starts to slow down it's zero
          y = - ½ g t_{b}²
          t_{b}  = √-2y / g
          
         t_{b} = √(- 2 (-3450.9) /9.8)
         t_{b} = 26.54 s
Flight time is the rise time plus the descent date
         t = t_{s} + t_{b}
         t = 36.94 + 26.54
         t =63.84 s
         t = 64 s
 
        
             
        
        
        
Because the more advances made in the world means the more we can learn on how things work and how we can better the lives of humans and other species. If we didn't have scientific advancements we wouldn't have cell phones, electric, tv, car, computers, ect. We would still be living in Cave man era with clubs and horrible language skills.
        
             
        
        
        
Answer:
Torque on the rocket will be 1.11475 N -m 
Explanation:
We have given that muscles generate a force of 45.5 N 
So force F = 45.5 N
This force acts on the is acting on the effective lever arm of 2.45 cm 
So length of the lever arm d = 2.45 cm = 0.0245 m 
We have to find torque
We know that torque is given by 
So torque on the rocket will be 1.11475 N -m 
 
        
             
        
        
        
mass of the bottle in each case is M = 0.250 kg
now as per given speeds we can use the formula of kinetic energy to find it
1) when speed is 2 m/s
kinetic energy is given as


2) when speed is 3 m/s
kinetic energy is given as


3) when speed is 4 m/s
kinetic energy is given as


4) when speed is 5 m/s
kinetic energy is given as


5) when speed is 6 m/s
kinetic energy is given as


 
        
                    
             
        
        
        
When water soaks into the ground fast it means the soil is very moist