2.5 seconds is Terrance’s ball in the air
What is an quadratic equation?
We define a quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic is y = [tex]ax^{2} +bx+c[/tex], where a, b, and c are numbers and a cannot be 0.
Example of quadratic equation is y = [tex]x^2 + 3x + 1.[/tex]
Given quadratic equation
[tex]-16t^{2} +40t =0[/tex]
⇒ [tex]16t^{2} -40t=0[/tex]
⇒ [tex]8(2t^{2}-5t)=0[/tex]
⇒ [tex]2t^{2}-5t=0[/tex]
⇒ [tex]t(2t-5)=0[/tex]
⇒ [tex]t_{1} =0[/tex] and [tex]t_{2}=\frac{5}{2} =2.5[/tex]
T = [tex]t_{2}-t_{1} =2.5-0 = 2.5[/tex]
2.5 seconds is Terrance’s ball in the air
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