At the earth's surface a projectile is launched straight up at a speed of 8.9 km/s. how many meters will it rise? ignore air resistance and the rotation of the earth.

height=4037.2km

Explanation:

Initial velocity = 8.9km/s = 8900m/s

Final velocity (maximum height) = 0

Assume gravity is constant 9.81 m/s^2 downward.

vf²=vi²+2×a(x-xi)

0=8900²-2×9.81*(height)

-2×9.81*(height)=-79210000

height=-79210000/2×9.81

height=4037206.9m

height=4037.2km  

diagram is missing, but i will try to explain your doubt.

answer:

amplitude is the maximum displacement or distance moved on a point of a vibrating body or wave measured from its equilibrium position.it is equal to half the length of vibration path.