Question

A rocket is fired. The height above the ground, h, in meters after t seconds is given by the function: h(t).

a) What is the maximum height?
b) What is the time required to reach the maximum height?
c) What was the height when it was fired?
d) When will the rocket hit the ground?

Answer 1

To find the maximum height, time to reach it, the initial height, and when the rocket hits the ground, you need to evaluate the given function h(t) at different points in time.

Step-by-step explanation:

When a rocket is fired, the height above the ground, h, in meters after t seconds can be determined by the function h(t). To answer the given questions:

a) The maximum height can be found by finding the vertex of the function h(t). This can be done by determining the value of t that corresponds to the maximum height.

b) The time required to reach the maximum height can be obtained by finding the value of t mentioned in part a).

c) The height when the rocket was fired can be found by evaluating the function h(t) when t is equal to zero.

d) To determine when the rocket will hit the ground, we need to find the value of t that corresponds to when the height h(t) is equal to zero.