A plane cruising at 263 m/s accelerates at 24 m/s 2 for 7.1 s. What is its final velocity? Answer in units of m/s. How far will it have traveled in that time? Answer in units of m.

idk the final velocity

1 Answer
Nov 28, 2017

Final velocity = #"433.4 m/s"#

Distance travelled = #"2470 m"#

Explanation:

Use this equation

#v = u + at#

Where

  • #v# = Final velocity
  • #u# = Initial velocity
  • #a# = Acceleration
  • #t# = Time taken to accelerate from #u# to #v#

#v = "263 m/s" + ("24 m/s"^2 × "7.1 s") = "433.4 m/s"#


Now, use this equation

#S = ut + 1/2at^2#

Where

  • #S# = Displacement covered in time #t#
  • #u# = Initial velocity
  • #a# = Acceleration
  • #t# = Time taken to cover displacement #S#

#S = ("263 m/s × 7.1 s") + (1/2 × "24 m/s"^2 × ("7.1 s")^2) = "2470 m"#