Question

evan launches a toy rocket from a platform. the graph below shows the height of the rocket h in feet after t seconds. what is the rockets initial height? (the graph has points (0, 594), (3.75, 645), and (9, 0) with h as height and t as time in seconds.)

Explanation:

Step1: Understand Initial Height

The initial height of the rocket is the height when time \( t = 0 \) seconds. On the graph, this corresponds to the \( y \)-intercept (the point where \( t = 0 \)).

Step2: Identify the Point at \( t = 0 \)

Looking at the graph, the point \( (0, 594) \) is given. Here, the \( x \)-coordinate (time) is \( 0 \), and the \( y \)-coordinate (height) is \( 594 \) feet. This represents the height of the rocket at the start (initial height).

Answer:

The rocket's initial height is \( 594 \) feet.