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Technology required. Two rocks are launched straight up in the air. The height of Rock A is given by the function f where f(t) = 4+30t - 16t^2. The height of Rock B is given by g where g(t) =5 + 20 t - 16t^2 . In both functions, t is time measured in seconds and height is measured in feet. Use graphing technology to graph both equations. Determine which rock hits the ground first and explain how you know.
1018 viewed last edited 11 months ago
Jadden
0
Sangeetha Pulapaka
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Thank you for asking a complete question Jadden :)

Here is your answer!

I have graphed both equations using Desmos


The orange parabola represents the function g, or rock B, and the blue parabola represents function f or rock A.

Rock B hits the ground first.

The graph for Rock B (function g) crosses the x-axis at about 1.5 s, which means it hits the ground about 1.5 seconds after launch.

The graph for Rock A (function f ) crosses the x-axis at about 2 s, which means it hits the ground about 2 seconds after launch.