Answer:
y = - 16t² + 55.6t + 6
Step-by-step explanation:
Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football
So y = y₀ + vt - 1/2 × (32 ft/s²)t²
y = y₀ + vt - 16t² where y₀ = 6.5 ft
y = 6 + vt - 16t²
Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have
5 = 6.5 + v(3.5 s) - 16(3.5 s)²
5 = 6.5 + 3.5v - 196
collecting like terms, we have
5 - 6.5 + 196 = 3.5v
194.5 = 3.5v
v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s
So, substituting v into y, our quadratic model is
y = 6 + 55.6t - 16t²
re-arranging, we have
y = - 16t² + 55.6t + 6
this is the answer, I guess.
Answer:
-15
Step-by-step explanation:
If it fell 3 deg every hour for 5 hours so the equation is 3*5 plus a - sign because it dropped degrees
The vertical distance from a crest to the rest position ! I know I'm a little late but I just took this.
Answer:
0.06 is 10 times as much as 0.006
Step-by-step explanation:
let the number be x
as per the condition 0.06 is 10 times as much as x.
Solve for x:
10 times as much as x represents as
Then;
......[1]
Division property of equality states that you divide the same number to both sides of an equation.
divide by 10 to both sides in equation [1];
Simplify:
x = 0.006
Therefore, 0.06 is 10 times as much as 0.006