An aeroplane lands and touches down the runway at a speed of 180km/h and stops after covering a distance of 1km. Calculate the retardation and the time taken by the plane to come to rest.
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Explanation:
Initial velocity (u) = 180 km/h
Since the aeroplane comes to a stop therefore final velocity (v) = 0km/h
Distance (s) = 1
Using 3rd eq. of motion
v^2 = u^2 + 2as
0 = (180)^2 + 2a(1)
-(180)^2 = 2a
-32400/2 = a
a = -16,200 km/h^2
Since acceleration is negative therefore it is retardation.
Therefore there is a retardation of 16,200 km/h^2
Now,
Using 2nd eq. of motion
v= u+at
0 = 180 +(-16200)(t)
t = 180/16200 h
= 180/16200 * 60 min. [1 hr. = 60 min]
= 0.67 min. (approximately)
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Answer:
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