The velocity v and maximum height h of the water being pumped into the air are related by the equation
v= 
where g = 32
(a) To find the equation that will give the maximum height of the water , solve the equation for h
v=
Take square root on both sides
= 2gh
Divide by 2g on both sides
= h
So maximum height of the water h =
(b) Maximum height h= 80
velocity v= 75 ft/sec
Given g = 32
h =
h = 
h= 87.89 ft
The pump withe the velocity of 75 ft/sec reaches the maximum height of 87.89 feet. 87.86 is greater than the maximum height 80 feet.
So the pump will meet the fire department needs.
<span>Provided that no one can receive more than one prize, there are 50*49*48= 117600 ways to distribute the prizes. The first prize can be given to any of the 50 people, the second to any of the remaining 49, and the third to the remaining of the 48, multiplying these possibilities together leads to the answer.</span>
Answer:
A 2.5 × 10^–7 m
Step-by-step explanation:
Given
wavelength of violet light = 4.0 x 10^−7 m.
The wavelength of red light = 6.5 x 10^−7 m
To find the how much longer is wavelength of red light than violet light we have to find difference of wavelength of red and violet light
Difference in wavelength of red light and violet light =
wavelength of red light -wavelength of violet light
= 6.5 x 10^−7 m - 4.0 x 10^−7 m
Difference in wavelength of red light and violet light = (6.5 - 4.0)*10^−7 m
Difference in wavelength of red light and violet light =2.5 x 10^−7 m
Thus,
wavelength of red light is 2.5 x 10^−7 m longer than wavelength of violet light
option A
