Velocity is the rate of change of the the position of a object with respect to the time. Total seconds the pebble drop before hitting the sign is 3 seconds.
Given-
A pebble drops from a balcony which is 160 feet above the ground.
Given function for the height is,
[tex]y=160-16t^2[/tex]
To know this we know about the velocity.
What is velocity?
Velocity is the rate of change of the the position of a object with respect to the time.
Now it is given in the question that the pebbles land on the top of a sign which has 16 feet above the ground.
Thus keep this value of y in the above equation to find the time.[tex]16=160-16t^2[/tex]
divide both side by 16, we get,
[tex]1=10-t^2[/tex]
Rearrange the equation for t,
[tex]t^2=10-1[/tex][tex]t^2=9[/tex]
[tex]t=3[/tex]
Hence, total seconds the pebble drop before hitting the sign is 3 seconds.
For more about the time follow the link below;
https://brainly.com/question/2570752
