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?
This motion 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[tex]\theta[/tex]/g
[tex]\theta[/tex] is the angle of projection = 32°
U 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
