Terry kicks a football off the ground with an initial upward velocity of 36 m/s. which equation can be used to find the amount of time, t, it will take the football to hit the ground? a. -4.9t^2+36=0 b. -4.9t^2+36t=0 c. -16t^2+36=0 d. -16t^2+36t=0 this would sm answer ❤️❤️

Initial upward velocity= 36 m/s
acceleration due to gravity= 9.8 m/s²

Concept:
As, the acceleration is constant ( acceleration is only due to gravity) so we use the equations of constant acceleration for this question:
As, given 
                            y=y° + v*t +1/2(a)(t²) 
 As, the initial and final height of the football is ground so change in distance covered in the vertical direction is zero.
                           y-y°=v*t + 1/2(a)(t²) 
                            0= 36 t +   1/2(-9.8)(t²)   
-ve sign because force is downward.
                            0= 36 t - 4.9 t²
 
Option B is correct
                    

Answer to your question: a. the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. the roots are ​ x=1±i7√2 .number of roots=degree of polynomialhere, degree of polynomial is 2 so number of roots will be 2.hope it *_*