Answer: It will take 1 second for the ball to reach a height of 5 meters.
Step-by-step explanation:
Given: The function [tex]h=10t-5t^2[/tex] can be used to find the height(h) of the ball in meters after t seconds.
Now, put h= 5 meters, we get
[tex]5=10t-5t^2[/tex]
[tex]\Rightarrow\ 1=2t-t^2\ \ \[\text{divide both sides by 5}]\\\\\Rightarrow\ t^2-2t+1=0\\\\\Rightarrow(t-1)^2=0\\\\\Rightarrow (t-1)=0\\\\\Rightarrow t=1[/tex]
Hence, it will take 1 second for the ball to reach a height of 5 meters.
