Question

In a scientific test conducted in Arizona, a special cannon called HARP (High Altitude Research Project) shot a projectile straight up to an alti-tude of 180.0 km. If the projectile's initial speed was 3.00 km/s, how long did it take the projectile to reach its maximum height?

Answer 1

It took the projectile 120 s to reach the maximum height.

Step-by-step explanation:

Given;

maximum height of the projectile, s = 180 km = 180,000 m

initial speed of the projectile, u = 3 km/s = 3000 m/s

final velocity at maximum height, v = 0

Apply the following kinematic equation for average velocity of the projectile;

`s = ((v+u)/(2) )t\\\\(v+u)t = 2s\\\\t = (2s)/(v+u) \\\\t = (2*180,000)/(0+3,000)\\\\ t = 120 \ s`

Therefore, it took the projectile 120 s to reach the maximum height.