Answer:
Equation: h(t)=- 4.9(t)^2 + 60
Seconds: 3.5
Step-by-step explanation:
The time after which the pebble falls will it hit the ground is 3.5 seconds and this can be determined by using the given data.
Given :
The function [tex]\rm h(t) = -4.9t^2+h_0[/tex] gives the height (h), in meters, of an object t seconds after it falls from an initial height (h0).
The following steps can be used in order to determine the time after which the pebble falls will it hit the ground:
Step 1 - First, determine the initial height of the pebble.
[tex]\rm 55.1 = -4.9(1)^2+ h_0[/tex]
55.1 + 4.9 = [tex]\rm h_0[/tex]
[tex]\rm h_0 = 60\;m[/tex]
Step 2 - Remember when the pebble hits the ground h(t) is equal to zero.
Step 3 - So, the time after which the pebble falls will it hit the ground is:
[tex]\rm 0=-4.9(t)^2+60[/tex]
[tex]\rm 4.9t^2=60[/tex]
t = 3.5 seconds
For more information, refer to the link given below:
https://brainly.com/question/2263981
