Answer:
0.4167 ft/s
Explanation:
The law of conservation is applied to point A and B.
This gives:

Hence,
is the kinetic energy at the position A
is the velocity at point A
Considering point A, the kinetic energy at the point will be:

The potential energy will be:

Hence,
is the potential energy and
is the kinetic energy
The potential energy is given by the following:

substituting 1 lb for mg gives 0.4167 ft for r
Then the velocity, 
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Answer:
The maximum allowable Height of the slot is 11.685mm
Explanation:
The explanation is attached. The approach used is Bernoulli's equation
Answer:
G = 0.424
Explanation:
Ds = ( 0.278tr * V ) + (0.278 * V²)/ ( 19.6* ( f ± G))
Where Ds = stopping sight distance = 415miles = 126.5m
G = absolute grade road
V = velocity of vehicle = 52miles/hr
f = friction = 0 because the road is wet
tr = standard perception / reaction time = 2.5s
So therefore:
Substituting to get G
We have
2479.4G = 705.6G + 751.72
1773.8G = 751.72
G = 751.72/1773.8
G = 0.424