Complete the height function:

A missile is launched from the ground. It's height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.
After 1 second, the missile is 112 feet in the air; after 2 seconds, it is 208 feet in the air.

h(x)=?

Question

Complete the height function:

A missile is launched from the ground. It's height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.
After 1 second, the missile is 112 feet in the air; after 2 seconds, it is 208 feet in the air.

h(x)=?

anonymous · Answer

$$h(t) = \frac{1}{2} a_o t^2 +v_o t + h_o$$
where ao is  the initial acceleration
vo is the initial velocity
ho is the initial height

since its starting from the ground, ho = 0

so you're just solving for ao and vo

since you have 2 points, you can plug them in and then you have a system of 2 equations with 2 unknowns which you should be able to easily solve