An arrow is shot vertically upward from a platform 33ft high at a rate of 214ft/sec. when will the arrow hit the ground? use the formula: h=−16t2+v0t+h0. (round your answer to the nearest tenth.)

Hello!

The arrow will hit the floor in 13,5 seconds.

Explanation:

For this exercise, we have a quadratic equation that is the way (for this exercise) to calculate the time when the arrow will hit the floor, it means that the h (y) will be 0.

We have the following equation:



This is a quadratic equation, so we are going to use the next formula:



Substituting we have:





We have 2 different results,  we are looking for a positive result because we are calculating a time value. 

Then:



So, we are choosing t1 because it's the positive result.

Finally, we have that the arrow will hit the floor in 13,5 seconds approximately.

Have a great day!