Question

I need help with this ASAP! I will give 25 pts.

An airplane pilot is fertilizing a field. The height y in feet of the fertilizer t seconds after it is dropped is modeled by y(t) = −16t2 − 3t + 300. The horizontal distance x in feet between the fertilizer and its dropping point is modeled by x(t) = 85t. At approximately what horizontal distance from the field should the pilot start dropping the fertilizer?

Answer 1

the horizontal distance is 85t = 85 * 4.237 = 360.145 feet

Explanation:

Answer 2

hope this helps!

Explanation:

From y(t) = −16t^2 − 3t + 300 find at what time the fertilizer hits the ground (has height 0)

0 = −16t^2 − 3t + 300

Using the quadratic formula (minus b plus or minus the square root of b squared minus 2 a c over 2 a) you get

t = 4.237 seconds

So the horizontal distance is 85t = 85 * 4.237 = 360.145 feet