height of the ball is given as a function of time
it is given by equation
![h = -16t^2 + 96 t](https://tex.z-dn.net/?f=h%20%3D%20-16t%5E2%20%2B%2096%20t)
here in order to find the maximum height we will use the concept of calculus where the maximum value of function will exist when its derivative becomes zero.
so here we can say
![\frac{dh}{dt} = 0](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D%200)
![-32 t + 96 = 0](https://tex.z-dn.net/?f=-32%20t%20%2B%2096%20%3D%200)
![t = 3 s](https://tex.z-dn.net/?f=t%20%3D%203%20s)
now we will put t = 3 in the given equation
![h = -16*(3)^2 + 96*(3)](https://tex.z-dn.net/?f=h%20%3D%20-16%2A%283%29%5E2%20%2B%2096%2A%283%29)
![h = 144 ft](https://tex.z-dn.net/?f=h%20%3D%20144%20ft)
So the maximum height will be h = 144 ft.
Answer:
A) 9000 Joules
B) 450 Watts
Explanation:
Work equals change in energy:
W = ΔPE
W = mgΔh
W = (600 N) (15 m)
W = 9000 J
Power is work per time:
P = W/t
P = (9000 J) / (20 s)
P = 450 W
Answer:
X-rays travel through space faster than radio waves.
Explanation:
Electromagnetic waves consist of oscillations of the electric and the magnetic field in a plane perpendicular to the direction of motion the wave.
All electromagnetic waves travel in a vacuum always at the same speed, the speed of light, whose value is:
![c=3.0\cdot 10^8 m/s](https://tex.z-dn.net/?f=c%3D3.0%5Ccdot%2010%5E8%20m%2Fs)
Electromagnetic waves are classified into 7 different types, according to their wavelength/frequency. From shortest to longest wavelength (and so, from highest to lowest frequency), we have:
Gamma rays
X rays
Ultraviolet
Visible light
Infrared radiation
Microwaves
Radio waves
Now we can analyze the 4 statements:
X-rays and radio waves are both forms of light, or electromagnetic radiation --> TRUE. They are both types of electromagnetic waves.
X-rays have higher frequency than radio waves. --> TRUE, as we can see from the table above.
X-rays have shorter wavelengths than radio waves. --> TRUE, as we can see from the table above.
X-rays travel through space faster than radio waves. --> FALSE: all electromagnetic waves travel in space at the same speed, the speed of light.
Well, the force is proportional to the product of the charges
on the two objects. So if the objects are already negatively
charged distance between them is unchanged, then adding
electrons to either or both objects would increase the forces
between them.