Question

You are in an airplane going down a runway currently going 24 m/s and accelerating at 8m/s for 800 meters until take off. How long does it take the plane to go those 800 meters?

Answer 1

Time taken to cover the distance 11.45 s.

Step-by-step explanation:

The given parameters:

Initial Velocity(u)=24 m/s

Acceleration (a)=8
`m/s^(2)`

Distance or Displacement(s)=800 m

Displacement or Distance is equal in the above because it travels in a straight line.

We have to apply Second Equation of Motion,

s=ut+
`(1)/(2) at^(2)`

800=24t + 4
`t^(2)`

200=6t +
`t^(2)`

`t^(2)` + 6t - 200=0

Solving, the quadratic equation to find out the roots, we get that the possible values of t will be 11.45 s and a negative value.

The negative value will be neglected as time cannot be negative.

Hence, the time taken is 11.45 s.