Aprojectile is shot vertically from the ground level. it’s height h, in feet, after t seconds is given by h = 88t - 16t ^2. how long will it take the projectile to hit the ground ?

5.5 seconds.

Step-by-step explanation:

The given function is

where, h is height (in feet) of projectile after t seconds.

We need to find the time taken by projectile to hit the ground.

At ground level, the height of projectile is 0.

Substitute h=0 in the given function to find the time at which it hit the ground.

Using zero product property we get

It mean projectile hits the ground at x=0 and x=5.5 seconds. We know that x=0 is the initial stage.

Therefore, so time taken by projectile to hit the ground is 5.5 seconds.

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