An aeroplane accelerates down a runway at 3.20 m/s^2 for 32.8 seconds until lifts off from the ground. How far did you travel before takeoff?

riwayatcbt

riwayatcbt

Answered question

2022-11-25

An aeroplane accelerates down a runway at 3.20   m / s 2 for 32.8 seconds until lifts off from the ground. How far did you travel before takeoff?

Answer & Explanation

Garagozzodgc

Garagozzodgc

Beginner2022-11-26Added 9 answers

Step 1: Given that:
The acceleration(a) in the aeroplane = 3.20 m s 2
Time taken(t) until lift off = 32.8sec
Initial velocity(u) of the aeroplane = 0
Step 2: calculating the distance flown by an airplane before takeoff:
According to the second equation of motion;
s = u t + 1 / 2 a t 2

Where s = distance travelled
u = Initial velocity
t = Time
a = acceleration
Putting the values, we get;

s = 0 × 32.8 s e c + 1 / 2 × 3.2 m s 2 × ( 32.8 s e c ) 2 s = 1.6 × 32.8 × 32.8 s = 1.6 × 1075.84 s = 1721.344 s 1721.3 m
Thus,

The distance covered by the aeroplane before takeoff is 1721.3m .

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