Amy drops a ball from an initial height of 30 feet above the ground. After how many seconds with a ball reach the ground? Roger
answer to the nearest 10th of a second. (answer choices shown in picture)
2 answers:
Answer:
Option 2. 1.4 seconds
Step-by-step explanation:
As we know when a ball is dropped from a height then we apply the formula
Here h = height from the ground
u = initial speed of the ball
t = time taken to reach the ground
g = acceleration due to gravity
Now we put the values of these parameters
h = 30 feet ≅ 9.144 met.
u = 0
g = 9.8 met/sec²
9.144 = 0 + 1/2×9.8×t²
9.144 = 4.9×t²
t² = 9.144÷4.9
t² = 1.87
t = 1.37 ≅ 1.4 seconds
Therefore option 2 is the answer.
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<h3>How to order the functions?</h3>The rate of change is calculated using:
For function g at the interval [2,3], we have:
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For function h at the interval [0,2], we have:
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Answer:
Nat's salary after 3 years = 976562.5 $
Explanation:
Salary of Nat = $500,000
Raise in salary for next three years = 25 % = 0.25
Salary of Nat after 1 year = 500,000 + 0.25 * 500,000 = 625000 $
Salary of Nat after 2 years = 625000 + 0.25 * 625000 = 781250 $
Salary of Nat after 3 years = 781250 + 0.25 * 781250 = 976562.5 $
So, Nat's salary after 3 years = 976562.5 $
Easy Method;
No of years considering = 3
Initial salary = $500,000
Rate of increase = 0.25
Final salary $
Nat's salary after 3 years = 976562.5 $