1/4;2/5;83/100;3/2;7/10;4/5
Answer:
Step-by-step explanation:
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>
Note: I just noticed that you only have one negative sign. If you mean to put -9, change the sign to positive. If not, leave the answer.
Note the equal sign. what you do to one side, you do to the other. Isolate the x. First, multiply 3 to both sides
-x/3(3) = 9(3)
-x = 9(3)
-x = 27
Next, to isolate the x, divide -1 from both sides
-x/-1 = 27/-1
x = 27/-1
x = -27
-27 is your answer for x.
hope this helps
Step-by-step explanation:
7/10 - 1/2 = 7/10 - 5/10 = 2/10
