Question

Use the given quadratic function to answer questions about the situation it models.The function ℎ = −4.9t^2+ 50t+ 30 models the height ℎ (in meters) of the rocket t seconds after its launch. A) Graph the height versus time for the rocket, on the coordinate plane to the right. B) Determine and label the height of the rocket at its vertex maximumC) Determine and label the coordinate that shows how many seconds it will take before the rocket hits the ground

Answer 1

A) The graph of the quadratic function:

$h=-4.9t^2+50t+30$

is shown in the image below;

B) The height of the rocket at its maximum vertex is 157.551 meters, as shown in the image below:

C) The point at which the rocket hits the ground is the point at which h=0m on the graph.

Thus, when h=0m, t = 10.772 seconds, as shown in the image below:

Hence, it will take rocket 10.77 seconds before it hits the ground.