Answer:
Step-by-step explanation:
y is always (1/3) of x.
Thus, if x = 0, y = 0; if x = 1, y = (1/3)(1) = 1/3, and so on. The corresponding ordered pairs are (0, 0), (1, 1/3), (-2, -2/3)
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>
Answer:B
Step-by-step explanation: hopes this helps
<u>B</u><u>)</u><u> </u><u>t</u><u> </u><u>=</u><u> </u><u>7</u><u>0</u><u> </u><u>h</u>
<u>A factory produces 70 toys per hour. The relationship between the number of toys produced, t, and the number of hours elapsed, h, is proportional.</u>
