In order for planes to take off from an aircraft carrier deck, they need an initial speed boost. this initial speed is provided by the aircraft carrier in the form of a catapult system (using either steam or electromagnetic force). we want to take off an f-22 from an aircraft carrier. the f-22 has a mass of 21430 kg and the aircraft catapult pushes the airplane across its 98 m long flight deck with a constant force of 415000 n. assume the flight deck is level. a) what is the velocity of the f-22 as it leaves the flight deck? b) if the aircraft carrier flight deck is 21 m above the ocean surface, then how much time does the f-22 have to begin flying once it leaves the flight deck? c) how far away from the aircraft carrier does the f-22 travel in the time calculated in part b) (assume the aircraft carrier remains stationary and the plane does not start flying)?

a) V = 61.608 m/s

b) t = 2.05 s

c) d = 126.26 m

Explanation:

In order to calculate speed, we will need the acceleration. Which is given by:

Now, the speed after traveling 98m with this acceleration:

For the amount of time from part (b):

 Solving for t:

t = 2.05s

Now, with this time, we calculate the distance:

d = V*t = 126.26m

an energy transformation flow diagram is shown

where is it ?

d₁ = displacement of tern from arctic to antarctic = 11000 miles

d₂ = displacement of tern from antarctic to arctic =   - 11000 miles

d = total displacement for the journey

total displacement for the journey is given as

d = d₁ + d₂

d = 11000 + (-11000)

d = 0 miles

t₁ = time of travel from arctic to antarctic = 3 months = 3 x 30 days = 90 days

t₂ = time of travel from antarctic to arctic = 3 months = 3 x 30 days = 90 days

t = total time of travel

total time of travel is given as

t = t₁ + t₂

t = 90 + 90

t = 180 days

average velocity is given as

average velocity = total displacement/ total time

v = d/t

v = 0/180

v = 0 miles/day