Given that a flyer begins from earth and thrown up with a velocity of 30 ft/sec vertically.
u = initial velocity = 30 : a = -g = 32 ft/sec^2
s(0) =initial height =4 ft.
We have the equation
where u = initial velocity : v= final velocity : s = distance travelled and a = acceleration. Here final velocity is found out as follows
Substitute to get
Since v cannot be negative, the flyer’s center of gravity cannot ever reach 20 feet.
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To reach 25 ft, put s = 25
and v must be atleast 0
Then we have
Hence if thrown with initial velocity of 40 ft /sec, it will reach a height of 25 ft.
The MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average. Option 4
<h3>Definition of standard deviation</h3>
Standard deviation can be defined as a statistic tool that measures the dispersion of a dataset in relation to its mean and is calculated as the square root of the available variance of the set.
It is calculated as the square root of the given variance.
Thus, the MOST accurate definition of standard deviation is the mean absolute deviation of the sum of the squared deviation from the average.
Learn more about standard deviation here:
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All the values with exactly three significant digits are: 0.0807, 1990
Significant digits of a number tell us what the actual meaningful representation of a number is. There are certain rules to figure out which digits in a number are significant such as
- All non-zero digits in any number are significant. Ex: 33.4 has 3 significant digits; 19875 has 5 significant digits.
- All zeros between two non-zero digits are significant. Ex: 103.0078 has 7 significant digits. 700519 has 6 significant digits.
- Leading zeros that is all zeros to the left of the first non-zero digit and all zeros to the right of a decimal point are insignificant. 0.00081 has 2 significant digits; 0.547 has 3 significant digits.
- Zeros to the right of a decimal point are significant if and only if they are not followed by a non-zero digit. Ex; 92.00 and 20.00 both have 4 significant digits.
- After a decimal point, all zeros after the last non-zero digit are significant. Ex: 0.0079800 has 5 significant digits
- Trailing zeros are significant in a whole number with a decimal point shown and insignificant if there is no decimal point shown. Ex: 540. has 3 significant digits while 540 has 2 significant digits.
Thus the numbers with 3 significant digits are: 0.0807, 1990
Problem on significant figures.
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formula for distnace between two points is,
here x1=2, x2= 3, y1= 5, y2 =7 ,on sustituting in the above formula we get,