Aflare is launched upwards from a platform that is 20 feet in the air with an initial velocity of 128 feet per second. what is the highest point, in feet, that the flare reaches?

Hmax = 269.76 feet

Step-by-step explanation:

This movement is vertical shot up.

We will accept value of g= 10m/s², but we must convert meters in the feets.

We know that 1 meter = 3.28 feets =>  10meters = 32.8 feets

According to this g= 32.8 feet/s²

A flare is launched upwards from the height platform H₁ = 20 feet.

Initial velocity is 128 feet per second, when the flare reaches the highest point the final velocity is zero.

We will marked velocity with V and use this formula  

V₀² - V² = 2 · g · H₂ and V= 0 => V₀² = 2 · g · H₂ => H₂ = V₀²/ 2 · g

H₂ = 128² / 2 · 32.8 = 16384 / 65.6 = 249.76 feet

The highest point in feet , that the flare reaches is:

Hmax = H₁ + H₂ = 20 + 249.6 = 269.6 feet.

God with you!!!

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol