Answered

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An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the
ground. Determine the distance traveled in metres before takeoff.

Sagot :

MathPhys

Answer:

1,720 m

Explanation:

Using constant acceleration kinematics, also known as SUVAT equations, we can model the airplane's motion. In this case, we will use the equation:

s = ut + ½ at²

where

  • s is the displacement (distance traveled)
  • u is the initial velocity (initial speed)
  • a is the acceleration
  • t is time

Plug in values:

s = (0 m/s) (32.8 s) + ½ (3.20 m/s²) (32.8 s)²

s = 1,720 m

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