The height of an arrow shot upward can be given by the formula s = v0t - 16t2, where v0 is the initial velocity and t is time. How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s? Round to the nearest hundredth. The equation that represents the problem is 48 = 96t - 16t2. Solve 16t2 - 96t + 48 = 0.

Respuesta :

.55 first and then 5.45 you find it by finding the square root of six and finding it to be negative or positive on the right side of the equation

.55 & 5.45

Answer:

[tex]t = 0.56 s\\[/tex]

Step-by-step explanation:

The given equation is

[tex]s = v_{0} t - 16t^{2} \\48 ft = 96 \frac{ft}{s} t- 16t^2\\\\16t^2 -96t + 48 =0\\t^{2} - 6t + 3 = 0\\t = 0.56\\[/tex]