Answer:
the height of the porch is H=1.91 m
Step-by-step explanation:
neglecting friction and assuming that the porch is horizontal, then the horizontal speed is v₀= 4 m/s and it does not change , thus he hits the base at
t= L/v₀ , L= horizontal distance
then for vertical motion , since the vertical velocity vy is 0 , the initial height is H ( the height of the porche) and the final height hf is 0 , we have
hf = H + vy*t - 1/2*g*t²
0 = H + 0 -1/2*g*t²
H = 1/2*g*t² = 1/2*g*(L/v₀)²
replacing values with g= gravity = 9.8 m/s²
H = 1/2*g*(L/v₀)² = 1/2*9.8 m/s² *( 2.5 m/ 4 m/s)² = 1.91 m
therefore the height of the porch is H=1.91 m
Answer:
I will translate and will be right with you
Step-by-step explanation:
Hey there! I'm happy to help!
We have 110 minus a certain percent of 110 equals 88. Let's call this percent p and solve.
110-110p=88
We subtract 110 from both sides.
-110p=-22
We divide both sides by 110.
p=0.2
Therefore, the percent decrease is C) 20%.
Have a wonderful day! :D
Answer:
The question is incomplete, the complete complete question will be:
Lucy drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Lucy drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Lucy live from the mountains?
Lucy live at a distance of 288 miles from the mountains.
Step-by-step explanation:
DATA:
To the mts DATA:
Time = 9 hrs
Rate = r mph
Distance = 9r miles
From the mts DATA:
time = 4 hrs
rate = r+40 mph
distance = 4(r+40) miles
SOLUTION
Distance to = Distance from
9r = 4r + 160
5r = 160
r = 32 mph
RESULT:
Distance = 9r = 9*32 = 288 miles
Money factor is an alternative way in solving leasing problems. money factor can be converted to annual percentage rate ( APR) and vice versa.
APR = 2400 x money factor
so money factor can be solve using
money factor = APR / 2400
money factor = 8% / 2400
money factor = 0.0033333
