The height in ft of a ball after t seconds is given by h=80t-16t^2. how long did it take for the ball to hit the ground
The height in ft of a ball after t seconds is given by h=80t-16t^2. how long did it take for the ball to hit the ground
The height is equal to zero when the ball is on the ground.
\(\color{red} h=80t-16t^2=0\\ t(80-16t)=0 \)
\(t_1=0\) The ball is still lying on the ground.
\(80-16t=0\\ 16t=80\\ t=\frac{80}{16}\)
\(t_2=5\) The ball has landed.
!
The height in ft of a ball after t seconds is given by h=80t-16t^2. how long did it take for the ball to hit the ground
The height is equal to zero when the ball is on the ground.
\(\color{red} h=80t-16t^2=0\\ t(80-16t)=0 \)
\(t_1=0\) The ball is still lying on the ground.
\(80-16t=0\\ 16t=80\\ t=\frac{80}{16}\)
\(t_2=5\) The ball has landed.
!