A potato gun is a device made out of plastic pipe that launches a potato using compressed air. They can be great fun, and even educational for physics and math, as this question illustrates. A potato launched by a particular potato gun has a height described by h ( t ) = − 16 t 2 + 124 t + 4 h(t)=-16t2+124t+4. When is the potato 224 feet in the air?

The potato is 224 feet in the air after 2.75 second on the way up and after 5 seconds on the way back down.

Step-by-step explanation:

Given :  A potato launched by a particular potato gun has a height described by  .

To find : When is the potato 224 feet in the air?

Solution :

When the potato is 224 feet in the air i.e.

Substitute in the equation ,

Applying quadratic formula,

Here, a=4, b=-31 and c=55

The potato is 224 feet in the air after 2.75 second on the way up and after 5 seconds on the way back down.

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step-by-step explanation:

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