Question

The height (h) of an object after t seconds is given by the equation h=-2t²-9t+

56? In how many seconds will the object strike the ground?

Answer 1

7/2 second

Explanation:

The equation is: h= -2t²-9t+56

h = the height

We ask how many seconds the object will strike the ground. That means the h will be 0, and we have the equation!

0 = -2t^2 -9t + 56

First, we factor the equation and get

-(2t - 7) (t + 8) = 0

If any individual factor on the left side of the equation equals 0, the entire expression will be similar to 0. So we have the equations

2t - 7 = 0

t + 8 = 0

t = 7/2 and -8

Because a time can't be negative, so the answer is 7/2 second

So, the answer is in 7/2 seconds, the object will strike the ground.

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