Question

ktioner för Quiz Fråga 1 20 po On a television program, a comedian tosses a watermelon from the top of a five-story building. The height of the watermelon as it falls is given by the function h(t) = -16t2 + 16+ + 60 where is the number of seconds since the watermelon was tossed. The quadratic expression in the function can be factored as h(t) = -4 ( 2t + 3) (2t - 5) How many seconds does the watermelon fall before it hits the ground

Answer 1

$h(t)=-16t^2+16t+60$

where h(t) is the height of the watermelon, and t is time in seconds

The function can also be expressed as :

$h(t)=-4(2t+3)(2t-5)$

when the watermelon hits the ground, h(t) = 0, then:

$\begin{gathered} 0=-4(2t+3)(2t-5) \\ 0=(2t+3)(2t-5) \end{gathered}$

we have two options:

$\begin{gathered} 2t+3=0 \\ 2t=-3 \\ t=-\frac{3}{2} \end{gathered}$

or

$\begin{gathered} 2t-5=0 \\ 2t=5 \\ t=\frac{5}{2} \\ t=2.5 \end{gathered}$

The negative solution has no sense in the context of this problem, then the watermelon takes 2.5 seconds to hit the ground