Answer:
8.95ft
Explanation:
In order to develop this problem it is necessary to consider two concepts:
The first is the design of vertical curves through the general equation for the length of a curved vertical crest in terms of algebraic differences in grades. The second is the Design Controls for Crest vertical curves table (I attach a table at the end).
The aforementioned equation is given by:

Where,
L = leght of vertical curve
S = Sight distance
A = Algebraic difference in grades
Height of eye above roadway
height of object above roadway surface
From the table we know that for design speed of 60 mi/h the S is 570 ft, while the value of the rate of vertival curve K, for design speed of 50mi/h is 84.
Then we can calculate the Algebraic difference in grades through:



Applying the equation to find
we have:


Solving for

Therefore the height of the driver's eye is 8.95ft
Answer:
a) a = 4,552 m / s², b) a = 2,588 m / s²
Explanation:
Newton's second law is
F = ma
a = F / m
in this case the force remains constant
indicate us
* for a mass m₁
a₁ = F/m₁
a₁ = 12, m/ s²
* for a mass m₂
a₂= 3.3 m / s²
a) acceleration
m = m₂-m₁
we substitute
a =
1 / a =
let's calculate
=
= 0.21969
a = 4,552 m / s²
b) m = m₂ + m₁
a = F / (m₂ + m₁)

we substitute
a = 2,588 m / s²
Answer:
a. 0.000002 m
b. 0.00000182 m
Explanation:
36 cm = 0.36 m
15 cm = 0.15 m
a) We can start by calculating the air-water pressure of the bucket submerged 20m below the water surface:

Suppose air is ideal gas, then if the temperature stays the same, the product of its pressure and volume stays the same

Where P1 = 1.105 Pa is the atmospheric pressure, V_1 is the air volume in the bucket on the suface:

As the pressure increases, the air inside the bucket shrinks. But the crossection area stays constant, so only h, the height of air, decreases:


b) If the temperatures changes, we can still reuse the ideal gas equation above:


Answer:
mass of the person walking to west is 65 kg.
Given:
Momentum = 52 
Speed = 0.8 
To find:
Mass of the person = ?
Formula used:
Momentum is given by,
P = m × v
Where, P = momentum
m = mass
v = speed
Solution:
Momentum is given by,
P = m × v
Where, P = momentum
m = mass
v = speed
Mass = 
m = 
m = 65 kg
Thus, mass of the person walking to west is 65 kg.