Let V = the launch velocity
Let θ = the launch angle
Let d = the horizontal distance traveled
Ignore air resistance.
The horizontal component of velocity is
u = V cos θ
The time of flight is
t = d/(V cosθ) = (d/V) secθ
Create a table of θ versus t as shown below.
θ t/(d/V)
---- ----------
45 1.4142
40 1.3054
35 1.2208
30 1.1547
The graph shows that as the launch angle decreases below 45°, the time of flight decreases.
Therefore arrow b (θ < 45°) arrives first.
Answer: Arrow b arrives first.
If you want integer coefficients only, multiply the equation of the line by 10. I'm assuming you accidentally left off the "= 0" at the end: -1.7x + 8.5 = 0.
If that's the case, then multiplying the whole equation by 10 results in -17x + 85 = 0.
Here you have only integer coefficients.
1 ft = 12 inches.....so 8 ft = 12* 8 = 96 inches
96 inches - 94.6 inches = 1.4 inches is cut off of each board
Well, ....... X=57/2 or 28.5 but not are equivalent
