It takes 7 seconds for the pebble to hit the ground, t is time and h(t) is height in feet.
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given data;
Equation of height as a function of time;
[tex]\rm h(t) = 16 t^2[/tex]
Height of cliff= 784 feet
Equate the data;
[tex]\rm 16 t^2 = 784\\\\\ t^2 = 49\\\\ t = 7 \ seconds[/tex]
Hence, it takes 7 seconds for the pebble to hit the ground.
To learn more, about equations, refer;
https://brainly.com/question/10413253
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