Question

an aeroplane touches the ground at a speed of 225 m per second and stops after 2 minutes calculate acceleration and the length of runway​

Answer 1

Answer:



Explanation:

Given:

Initial velocity of plane = 225 km/hr

Time taken to stop = 2 minutes.

To find:

Acceleration and length of the runway

Formulas used:

Let u => initial velocity, v => final Velocity , a => acceleration ,t => time and s => distance

1. v = u + at

2. v² = u² + 2as

Conversion:

225 km = 225 × (5/18) = 62.5 m/s

and 2 minutes = 120 seconds.

Calculation:

v = u + at

=> at = v - u

=> a = (v-u)/t

=> a = (0 - 62.5) /120

=> a = - (62.5/120)

=> a = - 0.520 m/s²....(1)

Putting value of "a" in equation (2)

v² = u² + 2as

=> 0² = (62.5)² + 2 × (-0.520) × s

=> 1.041 × s = 3906.25

=> s = 3752.4 metres = 3.752 km.

So final answer is :

Acceleration is -0.520 m/s² and

Length of runway = 3.752 km

Negative sign in acceleration denotes retardation.