A jet plane lands with a speed of 100 m/s and can accelerate at a maximum rate of&nbsp;−5.00&nbsp;ms2&nbsp;as it comes to rest. Can this plane land on a small tropical island airport where the runway is 0.800 km long?

Here the initial speed of the jet vi=100 m s−1 Final speed of the jet vf=0.00m s−1 Acceleration of the jet is a=−5.00m s−2 From part, the minimum time required to come to rest is t=20.0 s We know from kinematic equation S=vit+12at2 =100 m s−1×20.0 s+12×−5.00 m s−2×(20.0 s)2 =1000 m =1.00 km So the minimun length of the runway should be 1.00 km to come to rest. Therefore this plane can not land on a small tropical island airport where the runway is 0.800 km long. Result: No

Best solutions to - "A jet plane lands with a speed of..."

High School
Physics
Force, Motion and Energy
Acceleration Due to Gravity

Michael Dennis

Answered question

2021-11-21

A jet plane lands with a speed of 100 m/s and can accelerate at a maximum rate of $- 5.00 \frac{m}{s^{2}}$ as it comes to rest. Can this plane land on a small tropical island airport where the runway is 0.800 km long?

Answer & Explanation

Hiroko Cabezas

Beginner2021-11-22Added 18 answers

Here the initial speed of the jet

v_{i} = 100 m s^{- 1}

Final speed of the jet

v_{f} = 0.00 m s^{- 1}

Acceleration of the jet is

a = - 5.00 m s^{- 2}

From part, the minimum time required to come to rest is

t = 20.0 s

We know from kinematic equation

S = v_{i} t + \frac{1}{2} a t^{2}

= 100 m s^{- 1} \times 20.0 s + \frac{1}{2} \times - 5.00 m s^{- 2} \times {(20.0 s)}^{2}

= 1000 m

= 1.00 k m

So the minimun length of the runway should be

1.00 k m

to come to rest. Therefore this plane can not land on a small tropical island airport where the runway is

0.800 k m

long.
Result: No

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Force, Motion and Energy

Didn't find what you were looking for?