Join IDNLearn.com today and start getting the answers you've been searching for. Get the information you need from our community of experts, who provide detailed and trustworthy answers.
Sagot :
The function that models the height of the plane is:
[tex]h(t)=-16t^2+32t+48[/tex]The plane will hit the ground when the height is zero, this means:
[tex]\begin{gathered} h(t)=0 \\ -16t^2+32t+48=0 \end{gathered}[/tex]hence, we need to solve the equation for t. Let's do this:
[tex]\begin{gathered} -16t^2+32t+48=0 \\ -16(t^2-2t-3)=0 \\ t^2-2t-3=\frac{0}{-16} \\ t^2-2t-3=0 \\ (t-3)(t+1)=0 \\ \text{then} \\ t-3=0 \\ t=3 \\ or \\ t+1=0 \\ t=-1 \end{gathered}[/tex]Therefore the possible values for t are 3 and -1. Since the time has to be positive we conclude that it takes 3 second for the plane to crash.
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com provides the best answers to your questions. Thank you for visiting, and come back soon for more helpful information.
