Answer:
The maximum height reached by the projectile is 490.31 km.
Explanation:
Given;
initial velocity of the projectile, u = 3.1 km/s = 3100 m/s
acceleration due to gravity, g = 9.8 m/s²
The maximum height reached by the projectile is calculated as;
v² = u² - 2gh
where;
v is the final velocity of the projectile at maximum height = 0
h is the maximum height reached by the projectile
0 = u² - 2gh
2gh = u²
h = u² / 2g
h = (3100²) / (2 x 9.8)
h = 490306.122 m
h = 490.31 km
Therefore, the maximum height reached by the projectile is 490.31 km.
