An object that is in motion as a projectile follows a path or trajectory of a parabola
The function and values are;
- a) The equation of the quadratic function is;

- b) The maximum height of the ball is approximately <u>7.334 m</u>
- c) Horizontal distance at maximum height <u>18.8 meters</u>
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Reason:
a) Known parameters are;
Let f(x) = a·x² + b·x + c represent the equation of the parabola modelling the path of the ball, we have;
Points on the path of the parabola = (0, 0), (35, 1.5), 37, 0)
Plugging the values gives;
0 = a·0² + b·0 + c
Therefore, c = 0
1.5 = 35²·a + 35·b
0 = 37²·a + 37·b
Solving gives;
a = -3/140, b = 111/140
The equation of the quadratic function is therefore;
b) The maximum height is given by the vertex of the parabola
The x-coordinate at the vertex is the point 
Which gives;

The maximum height is therefore;

The maximum height of the ball is approximately 7.334 m
c) The distance the ball has travelled to horizontally is given by half of the range, <em>R</em> as follows;
The range of the motion, R = 37 meters

Therefore;

The distance the ball has travelled horizontally to reach the maximum height horizontally <u>18.5 meters</u>
Learn more about the trajectory of a projectile here:
brainly.com/question/13646224
Standard deviation is simply the square root of the variance.
We need to get the square root of each variance to see whether its standard deviation is greater than its variance.
A. 0.25 ⇒ √0.25 = 0.50B. 1.75 ⇒ √1.75 = 1.32C. 2.5 ⇒ √2.5 = 1.58D. 1.5 ⇒ √1.5 = 1.22
Among the choices, only A. 0.25 has a standard deviation that is greater than the variance. The standard deviation is 0.50
Answer:
a) 6, 7, 8, 9, ... , 15
b) 1, 3, 5, 7, ... , 19
Step-by-step explanation:
plug in the position as n
Answer:
Step-by-step explanation:
here you go
step 1
2 (t - 4) + 1 equation
step 2
2 (t - 4) + 1 simplify
2t+-8+1
step 3
2t+−8+1 combine terms
answer
2t-7
can you give brainliest if you dont mind