Projectile motion is characterized by a motion that has two vector forces: the velocity along the x and y directions. As a result, the motion follows an arc-shaped direction. These two directions are actually independent of each other.
There are already derived equations for this so it is already convenient. However, your given equation for range is incomplete. The correct equation is:
R = v₀²sin2θ/g
where
R = 140 ft
v₀ = 120 ft/s
g = 32.2 m/s²
Substituting the values,
sin 2θ = Rg/v₀²
sin 2θ = (140)(32.2)/(120²)
sin 2θ = 0.313
2θ = sin ⁻¹ (0.313)
2θ = 18.24°
θ =18.24°/2
θ = 9.12°
Answer:
1) 25/54 = 46%
2) 10/27 = 37%
3) 17/27 = 63%
4) 20/27 = 74%
5) 17/27 = 63%
6) 10/17 = 59%
Step-by-step explanation:
1) (50 male)/108 total) = 25/54
2) (40 thumbs down)/(108) = 10/27
3) (68 thumbs down or male) / (108) = 17/27
4) (80 thumbs down or female)/(108) = 20/27
5) (68 thumbs up)/(108) = 17/27
6) (40 thumb up female)/(68) = 10/17
Given:
There are between 24 and 40 students in a class.
The ratio of boys to girls is 4:7
To find:
The number of students in the class.
Solution:
Let the number of boys are girls are 4x and 7x respectively, where, x must be a positive integer because number of boys and girls is always a positive integer. Then, the total number of students is
It means total number of students is multiply of 11.
Multiples of 11 are 11, 22, 33, 44, ... . So, multiples of 11 between 24 and 40 is 33.
Therefore, the total number of students in the class is 33.
Answer:
0.05
Step-by-step explanation:
Slope is the vertical drop or rise to the horizontal distance;
Slope =
Let us convert 4 miles to feet;
1 mile = 5280ft
4 miles = 4 x 5280 = 21120ft
Slope =
= 0.05
The slope is 0.05