Question

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?

Answer 1

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