A circus acrobat is shot out of a cannon with an initial upward speed of 50 ft/s. The equation for the acrobat's pathway can be modeled by the equation h equals negative 16 t squared plus 50 t plus 4.How long will it take the acrobat to reach the ground

3.20 seconds.

Step-by-step explanation:

We have been given that the equation for the acrobat's pathway can be modeled by the equation . We are asked to find the time it take the acrobat to reach the ground.

The acrobat will reach the ground, when height (h) is 0. So we will set height equal to 0 as:

We will use quadratic formula to solve for t as:

Since time cannot be negative, therefore, it will take approximately 3.20 seconds to reach the ground.

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