Answer:

Explanation:
From the question we are told that:


Generally the equation for Resolutions is mathematically given by


Where


Generally the equation for Direction is mathematically given by



Answer:
2 secs; 65 feet
Explanation:
The function guiding the water bottle is given as:
f(x) = -16t² + 64t + 1
The bottle will reach maximum height when velocity, df/dt (velocity is the first derivative of distance) = 0.
Therefore:
df/dt = 0 = -32t + 64
=> 32t = 64
t = 64/32 = 2 seconds
This is the time it will take to reach the maximum height.
To find this height, we insert t = 2 into the function f(x):
f = -16(2)² + 64(2) + 1
f = -(16 * 4) + 128 + 1
f = -64 + 128 + 1
f = 65 ft
Its maximum height is 65 ft.
Answer:
a) W=12166.20876 J
b) U= -12166.20876 J
Explanation:
No. of moles, n = 8.41
Change of temperature, ΔT = T1 - T2
= 395 - 279
= 116 K
For monatomic gas, γ = 5/3
γ -1 = 2 /3
Solution:
(a)
Work done,
plugging values we get

Ans:
12166.20876 J
Work done, W = + 12166.20876 J
(b)
From first law of thermodynamics, dQ = U + W
but, dQ = 0
( adiabatic process)
Hence, U = - W
= - 12166.20876 J
Ans:
Change in internal energy, U = - 12166.20876 J
Answer:
Since strong nuclear forces involve only nuclear particles (not electrons, bonds, etc) items 3 and 4 are eliminated.
Again item 2 refers to bonds between atoms and is eliminated.
This leaves only item 1.
Nuclear forces are very short range forces between components of the nucleus.
Weak nuclear forces are trillions of times smaller than strong forces.
Gravitational forces are much much smaller than the weak nuclear force.
The reaction time of Boris is t(r), so before that, Boris will not have jumped. Thus, H(b)(t) = 0
The vertical displacement will simply be
D(t) = H(a)(t)