The height of a diver during a dive can be modeled by h = −16t2, where h is height in feet relative to the diving platform and t is time in seconds. Find the time it takes for the diver to reach the water if the platform is 9 feet high. Round your answer to the nearest hundredth if necessary.

The time it takes for the diver to reach the water is
seconds.

Respuesta :

[tex]\\ \sf\longmapsto h=-16t^2[/tex]

  • Put the value of h

[tex]\\ \sf\longmapsto 9=-16t^2[/tex]

[tex]\\ \sf\longmapsto -t^2=\dfrac{9}{16}[/tex]

[tex]\\ \sf\longmapsto -t=\dfrac{3}{4}[/tex]

[tex]\\ \sf\longmapsto -t=0.7[/tex]

[tex]\\ \sf\longmapsto t=0.7s[/tex]