Answer:
The position P is:
ft <u><em> Remember that the position is a vector. Observe the attached image</em></u>
Step-by-step explanation:
The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity
is:

Where
is the initial height = 0 for this case
We know that the initial velocity is:
82 ft/sec at an angle of 58 ° with respect to the ground.
So:
ft/sec
ft/sec
Thus

The height after 2 sec is:


Then the equation that describes the horizontal position of the ball is

Where
for this case
ft / sec
ft/sec
So

After 2 seconds the horizontal distance reached by the ball is:

Finally the vector position P is:
ft
Answer:
-1
Step-by-step explanation:
4x-1=-4
-4+3=-1
Answer: 3/8 can’t go to 3/2
Step-by-step explanation:
Answer:
y = -1/3x + 4
Step-by-step explanation:
Perpendicular lines: Their gradients are reciprocals.
This means:
- -1 ÷ Gradient 1 = Gradient 2
- Gradient 1 * Gradient 2 = -1
Gradient of the given equation is 3.
-1 / 3 = -1/3
Gradient of the equation we're finding is -1/3
y = -1/3x + c
Substitute the coordinates in to find the value of c
2 = -1/3(6) + c
2 = -2 + c
2 + 2 = c
4 = c
y = -1/3x + 4
Answer:
Y = 4/3x + 0
Step-by-step explanation:
(-3,-4) and (3,4) can be plugged in to rise over run.
y 4 -(-4) = 8
x 3 - (-3) = 6
8/6 = 4/3
Plug into slope intercept form
4 = 4/3(3) + b
4 = 12/3 +b
4 = 4 +b
Subtract from both sides
0 = b
Y = 4/3x + 0