First write both vectors in terms of their horizontal and vertical components.
G = (40.3 m)(cos(-35.0º) x + sin(-35.0º) y)
G = (33.0 x - 23.1 y) m
(where x and y are the unit vectors that point in the positive horizontal and vertical directions, respectively)
H = (63.3 m)(cos 270º x + sin 270º y)
H = (-63.3 y) m
Then the vector sum is
G + H = (33.0 x - 86.4 y) m
which has a magnitude of
|| G + H || = √[33.0^2 + (-86.4)^2] = 92.5 m
We already know that the distance of all the planets are generally calculated by keeping the Sun as the main location point.
Explanation:
The distances of all the planets from the Sun in scientific notation and exponential form-
Mercury-
57
million kilometers.
Scientific notation-
5.7
⋅
10
7
km
Venus-
108
million kilometers.
Scientific notation-
1.08
⋅
10
8
km
Earth-
150
million kilometers
Scientific notation-
1.5
⋅
10
8
km
Mars-
228
million kilometers
Scientific notation-
2.28
⋅
10
8
km
Jupiter-
779
million kilometers
Scientific notation-
7.79
⋅
10
8
km
Saturn-
1.43
billion kilometers
Scientific notation-
1.43
⋅
10
9
km
Uranus-
2.88
billion kilometers
Scientific notation-
2.388
⋅
10
9
km
Neptune-
4.5
billion kilometers
Scientific notation-
4.5
⋅
10
9
km
The answer is D. 2+1/5×(7/12+3)
Answer: C
Step-by-step explanation: your fast answer is C.
Answer:
1. t = 0.995 s
2. h = 15.92 ft
Step-by-step explanation:
First we have to look at the following formula
Vf = Vo + gt
then we work it to clear what we want
Vo + gt = Vf
gt = Vf - Vo
t = (Vf-Vo)/g
Now we have to complete the formula with the real data
Vo = 32 ft/s as the statement says
Vf = 0 because when it reaches its maximum point it will stop before starting to lower
g = -32,16 ft/s² it is a known constant, that we use it with the negative sign because it is in the opposite direction to ours
t = (0 ft/s - 32 ft/s) / -32,16 ft/s²
we solve and ...
t = 0.995 s
Now we will implement this result in the following formula to get the height at that time
h = (Vo - Vf) *t /2
h = (32 ft/s - 0 ft/s) * 0.995 s / 2
h = 32 ft/s * 0.995 s/2
h = 31.84 ft / 2
h = 15.92 ft
