Assume uniformly accelerated motion
Vf = Vo - at => a= [Vo - Vf] / t
Vf = 0, t = 20 s => a = Vo / 20
x = Vot - at^2 / 2
x = Vot - (Vo / 20) * t^2 /2
x = 1775 feet * [1 mile / 5280 feet] = 0.336 mile
t = 20 s
=> 0.336 = 20Vo - Vo(20)^2 /(40) = 20Vo - 10 Vo = 10 Vo
=> Vo = 0.336 /10 = 0.0336 mile /s
Vo = 0.0336 mile/s * 3600 s/h = 120.96 mile / h
Therefore, the car was way over the speed limit.
Answer:
y = 1.25
Step-by-step explanation:
Use the direct variation equation y = kx, and solve for k:
y = kx
-10 = k(40)
-0.25 = k
So, the equation is y = -0.25x. Solve for y when x = -5
y = -0.25x
y = -0.25(-5)
y = 1.25
So, y = 1.25 when x = -5
Patrick has 3 model planes for p dollars each and Amanda buys 2 model
Answer:
-9x - 14
Step-by-step explanation:
Distribute (multiply) the 1/4 to everything in the parentheses.
1/4 * 4x = 1x or x 1/4 * -8 = -2
Then you distribute (multiply) the -2 to everything in the parentheses.
-2 * 5x = -10x -2 * 6 = -12
Then you put the equations together.
x - 2 - 10x - 12
Then you combine like terms.
x - 10x = -9x -2 - 12 = -14
Finally you get your answer in simplest form.
-9x - 14
