Question

Medal
Please help :(

Answer 1

Two missiles, A and B, are shot from two different launch pads. The path of missile A can be represented by the quadratic function A(t) = −2(t − 15)2 + 506, where height, A(t), is in meters, and time, t, is in seconds. The path of missile B is shown below.

Answer 2

Part A: Which missile reaches the highest altitude (in meters)? Explain your answer.

Part B: How much higher does it travel (rounded to the nearest tenth)? Show all work necessary.

Answer 3

You first need to graph the function for missile A.

Answer 4

The formula for the first missile is in vertex form where 506 is the highest altitude reached.

Answer 5

By graphing that function you get:

Answer 6

so a is higher

Answer 7

Actually its the opposite. Missile A's highest point occurs at t=15 seconds with the height of y=506 meters compared to Missile B's highest point which occurs at t=17 seconds with the height of 520 meters.