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## 6) A plane taking off leaves the runway at 329 to the horizontal, travelling at 180kmh 1. How long will it take to climb to an altitude

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## Answers ( )

Answer:## 2.7secs

Explanation:The question is not properly written. Here is the correct question

A plane taking off leaves the runway at 32° to the horizontal, travelling at

180km/h. How long will it take to climb to an altitude of 1000m?Thismotion of the plane is a projectile motion. From the question, we are to calculate the time taken by the plane to reach the maximum height.Using the formula

tmax = Usin/gU is the velocity of the plane (in m/s) = 180* 1000/3600 = 50m/s

g is the acceleration due to gravity = 9.8m/s²

tmax = 50sin32°/9.8

tmax = 26.496/9.8

tmax = 2.7sec