A projectile is fired vertically upward at an initial velocity of 100 m/s. How high will it rise? How long will it take to reach that height?

The question is solved using the equations of motion

According to the equations of motion:

v = final velocity

u = initial velocity

g = acceleration due to gravity

h = height

Note that at the maximum height, the final velocity (v) = 0 m/s

so we can write:

h = 500 m

The time taken is obtained from:

since v= 0 at maximum height

For more about equations of motion, see