Math word problem

Question

An archer releases an arrow with an initial velocity of 24 feet per second at a height of 16 feet. The path the arrow takes can be modeled using the function f(x)=−16x2+24x+16, where f(x) represents the height, in feet, of the arrow and x represents the time the arrow travels in seconds. How many seconds until the arrow hits the ground? Round your answer to the nearest hundredth if necessary.

Answer 1

-16x^2 + 24x + 16 = 0

2x^2 - 3x - 2 = 0

(2x + 1)(x - 2 )=0

x-2 =0 ---> x = 2

x = -1/2 is disqualified for negative measures

2 seconds