132k views
4 votes
How many seconds does it take until the ball hits the ground ?

How many seconds does it take until the ball hits the ground ?-example-1
User Threadid
by
8.2k points

1 Answer

3 votes

Given:

The quadratic model of the ball is given as:


h(t)=-16t^2+104t+56

Required:

Find the time when it takes to hit the ground.

Step-by-step explanation:

When the ball hits the ground then h(t)=0.


\begin{gathered} -16t^2+104t+56=0 \\ -8(2t^2-13t-7)=0 \\ 2t^2-13t-7=0 \end{gathered}

Solve the quadratic equation by using the middle term splitting method.


\begin{gathered} 2t^2-14t+t-7=0 \\ 2t(t-7)+1(t-7)=0 \\ (t-7)(2t+1)=0 \\ t=7,-(1)/(2) \end{gathered}

Since time can not be negative.

So t = 7 sec

Final Answer:

The ball will take 7 sec to hits the ground.

User Bruno Landowski
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories