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:
It can go back to it's original shape
Explanation:
Sky teaches us many things which cannot be taught by anyone else.
Answer:
a. Relative humidity increases: a decrease in temperature without a change in the amount of water vapor in the atmosphere.
Explanation:
Colder air requires less humidity to saturate compared to warmer air. Therefore, the relative humidity depends on the air temperature. If the temperature drops and the water vapor content remains the same, relative humidity increases. If the temperature increases and the water vapor content remains the same, relative humidity decreases. Additionally, a greater amount of water vapor in the air increases the relative humudity.
They are easy to use and more reliable