Answer:
check the image above please
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:
Earth's magnetic field serves to deflect most of the solar wind, whose charged particles would otherwise strip away the ozone layer that protects the Earth from harmful ultraviolet radiation.
Answer:
the location of the center of gravity for the entire body is 1.08 m
Explanation:
Given the data in the question;
w1 = 458 N, y1 = 1.34 m
w2 = 120 N, y2 = 0.766 m
w3 = 89.8 N, y2 = 0.204 m
The location arrangement of the body part is vertical, locate the overall centre of gravity by simply replacing the horizontal position x by the vertical position y as measured relative to the floor.
so,
= (w1y1 + w2y2 + w3y3 ) / ( w1 + w2 + w3 )
so we substitute in our values
= (458×1.34 + 120×0.766 + 89.8×0.204 ) / ( 458 + 120 + 89.8 )
= 723.9592 / 667.8
= 1.08 m
Therefore, the location of the center of gravity for the entire body is 1.08 m
Sports drinks do offer some benefits when comparing sports drinks vs. water. While water actually works better at fluid replacement, sports drinks are often more appealing to the palate. In other words, people who enjoy the taste of sports drinks may drink more of a sports drink than they would water; this will lead to better hydration.
Sports drinks also contain electrolytes and carbohydrates. While exercising for short periods of time, it is not necessary to replace electrolytes; however, athletes and marathon participants exercising for period of an hour or more can benefit from electrolyte replacement in particular. Carbohydrates offer the body energy. When the body burns calories, it needs carbohydrates to replace energy lost. The longer the workout, the more carbohydrates are needed.