In a scientific conducted in Arizona, a special cannon called HARP shot a projectile straight up to an altitide of 180.0km. If the projectile's initial speed was 3.00km/s, how long did it take the projectile to reach its maximum height?
Thank you for the opportunity to help you with your question!
yo=0 assuming its on the ground
using quadratic formula
t=67.4s, and t=544s
Because we want to know how long it took to reach it
originally we choose t=67.4s
Also 67.4 s and 544 s, the rocket is above 180
km and then falls back down to the 180 km point at the 544 s mark.
Just a note on quadratic formula
Given ax^2 +bx+c=0
x can be found using the quadratic x=-b+-squareroot(b*b-4ac)/2a
Its my pleasure
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