Answer:
- r(0) = <0, 100> . . . . . . . .meters
- r'(0) = <7.071, 7.071> . . . . meters per second
Step-by-step explanation:
<u>Initial Position</u>
The problem statement tells us we're measuring position from the ground at the base of the building where the projectile was launched. The initial horizontal position is presumed to be zero. The initial vertical position is said to be 100 meters from the ground, so (in meters) ...
r(0) = <0, 100>
<u>Initial Velocity</u>
The velocity vector resolves into components in the horizontal direction and the vertical direction. For angle α from the horizontal, the horizontal component of velocity is v₁·cos(α), and the vertical component is v₁·sin(α). For v₁ = 10 m/s and α = π/4, the initial velocity vector (in m/s) is ...
r'(0) = <10·cos(π/4), 10·sin(π/4)>
r'(0) ≈ <7.071, 7.071>
Well the y-intercept is where a line crosses the y-axis
y=-4x-6
think of it as y=mx+b
m is always going to be your slope
b is always going to be your y-intercept
y-intercept of y=-4x-6
is -6
Total Cost= $0.20x+$42.00
Total Cost= $98.00
$98.00=<span>$0.20x+$42.00
Subtract $42.00 from each side of the equation
$56.00=$0.20x
Divide both sides by $0.20
x=280 miles
Zachary could drive a maximum of 280 miles per day that he rents the car. </span>
