The correct answer should be the third option. YOU'RE WELCOME :D
Answer:
The maximum height of the particle is 100 ft
A is correct
Step-by-step explanation:
A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second.
The standard equation of parabolic projectile.

where,



So, we get the parabolic equation of path.
The maximum value at vertex.


Maximum at t=0.5


Hence, The maximum height of the particle is 100 ft
Answer:
51 meters
Step-by-step explanation:
The area can be found by adding the areas of all the triangles. The top right triangle has an area of 7.5. The bottom right triangle has an area of 18. The bottom left, also has an area of 18. And finally, the top left which has an area of 7.5. 18 + 18 + 7.5 + 7.5 = 51.
Answer:
The volume of the cone is:
- <u>112.6 cubic inches.</u>
Step-by-step explanation:
You should know that the volume of a straight circular cone is equal to:
- Cone volume = (1/3) PI * r ^ 2 * h
Where:
<em>r = radius.
</em>
<em>h = height.
</em>
Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:
- Circumference = PI * Diameter.
When clearing you get:
- Diameter = circumference / PI
By replacing the data you get:
- Diameter = 15 inches / PI
- Diameter = 4.77 inches.
Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:
- Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in
- Cone volume = 112.581541 in^3
- <u>Cone volume = 112.6 in^3</u>
It is the bottom right corner choice