djcatmaster007p6qv2j
djcatmaster007p6qv2j djcatmaster007p6qv2j
  • 03-05-2018
  • Mathematics
contestada

A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will it take him to reach the ground?

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carlosego
carlosego carlosego
  • 20-06-2018
For this we almost have the following equation:
 [tex]h = -16t ^ 2 + 25 [/tex]
 We must match the equation to zero:
 [tex]-16t ^ 2 + 25 = 0 [/tex]
 From here, we clear the value of t.
 We have then:
 [tex]16t ^ 2 = 25 t ^ 2 = 25/16[/tex]
 We discard the negative root because we are looking for time:
 [tex]t = \sqrt{ \frac{25}{16} } [/tex]
 [tex]t = \frac{5}{4} [/tex]
 Answer:
 
it will take him to reach the ground about:
 
[tex]t = \frac{5}{4} [/tex] seconds
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