An airplane accelerates at 5.0 m/s2 for 30.0 s. during this time, it covers a distance of 10.0 km. what are the initial and final velocities of the airplane?



Answer :

[tex]Step 11 of 4\textbf{Given :}Given :a=5\; \mathrm{m \cdot s^{-2}}a=5m⋅s −2 t=30 \;\mathrm{s}t=30sx=10 \;\mathrm{ km }=10^{4} \;\mathrm{ m }x=10km=10 4 m.\textbf{Required:}Required:v_{i}v i​ .v_{f}v f​ .​[/tex]

[tex]According to laws of motion the initial velocity v_{i}v i​ is given by\boxed{x=v_{i}t+ \dfrac{1}{2} at^{2}}\;\;\;\;\;(1)x=v i​ t+ 21​ at 2 ​ (1)substitute and get that10^{4}=v_{i} (30)+.5 (5)(30)10 4 =v i​ (30)+.5(5)(30)Simplify and getv_{i}=\boxed{258.3\; \mathrm{m/s}}v i​ = 258.3m/s​[/tex]

[tex]According to motion equations the final velocity v_{f}v f​ is given byv_{f}=v_{i}+at \;\;\;\;\;\;\;(2)v f​ =v i​ +at(2)Substituting and get thatv_{f}=258.3+(30)(5)v f​ =258.3+(30)(5)Simplifying and get thatv_{f}=\boxed{408.3 \;\mathrm{m/s}}v f​ = 408.3m/s​[/tex]

[tex]Result4 of 4v_{i}=258.3\; \mathrm{m/s}v i​ =258.3m/sv_{f}=408.3\; \mathrm{m/s}v f​ =408.3m/s[/tex]

what is velocity?

It is the rate at which an object's location changes in relation to time and a frame of reference. The action of traveling fast in one direction is all that velocity is, despite its sophisticated appearance

The concept of velocity calls for both magnitude (speed) and direction because it is a vector quantity. Its SI equivalent is the m / sec (ms-1). A body is considered to be accelerating if the direction or magnitude of its velocity changes.

  • When gravity first exerts force on an item, its initial velocity defines how quickly the thing moves.
  • The speed and direction of a body in motion after it has attained its maximum acceleration are measured by a vector quantity known as the final velocity.

To know more about velocity visit:

https://brainly.com/question/18084516

#SPJ4