Question

The spice girls have been financing a new company where objects are launched directly upward from the surface of the earth with an initial speed of 8.0 km/s. assuming air resistance is negligible, what is the maximum height of the projectile (in km) from the surface of the earth?

Answer 1

The maximum height of the projectile launched by the Spice Girls' company is 32.65 km from the surface of the Earth.

Step-by-step explanation:

The maximum height of the projectile can be calculated using the vertical component of the initial velocity. In this case, the vertical component of the initial velocity is 8.0 km/s. Considering that the acceleration due to gravity is negative, the maximum height can be determined using the formula:

height = (initial velocity2)/(2 * acceleration due to gravity)

Plugging in the values, we get:

height = (8.0 km/s)2 / (2 * 9.8 m/s2) = 32.65 km

So, the maximum height of the projectile is 32.65 km from the surface of the Earth.