Answer:
Maximum height of the ball, h(t) = 27.56 m
Explanation:
It is given that, a ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec.
The height of the ball as a function of time t is given by :

h₀ is initial height, h₀ = 0
So,
.........(1)
For maximum/minimum height, 
...(2)
t = 1.31 s
Differentiating equation (2) wrt t
h''(t) = -32 < 0
So, at t = 1.31 seconds we will get the maximum height.
Put the value of t in equation (1)

h(t) = 27.56 m
Hence, this is the required solution.
Answer:
C) The rate of change from potential to kinetic energy is exponential.
Explanation:
As we know that total mechanical energy must be conserved here
As we know that there is no friction force on this system of electromagnet and nail
So here we can say that that
Magnetic potential energy of the nail + electromagnet system will convert into kinetic energy of the nail as it is released.
So we will have
Initial potential energy = work done to move it away by 10 cm


now as the nail is released then this potential energy will start to convert into kinetic energy
So here correct answer must be
C) The rate of change from potential to kinetic energy is exponential.
Answer:
cheetah goes 52.2 m in that time.
Explanation:
Electromagnetic ionizing radiation emitted<span> from the nucleus of an atom when it de-excites. Gamma </span>rays<span> are best thought of as "photons," i.e., packets of pure energy. The energy of a gamma </span>ray<span> is usually between 50 and 2000 keV (0.05 to 2 MeV). Gamma </span>rays<span> can be </span>emitted during radioactive decay.
A scientific hypothesis can certainly be valid even if it cannot be tested by observation or experimentation.
But you don't <u><em>know</em></u> whether or not it's valid.