Answer:
1.7 seconds
Step-by-step explanation:
we have
where
v is the initial velocity (in feet per second)
s represents the initial height (in feet)
In this problem we have
---> because the object is dropped
substitute
Remember that
When the chestnut hit the ground the value of H is equal to zero
so
For H=0
solve for t
therefore
The solution is t=1.7 sec
For example, the integral of 2x + 4 is the same as the 2 multiplied by the integral of x + 2. ... There is no product or quotient rule for antiderivatives, so to solve the integral of a product, you must multiply or divide the two functions.
Answer: 1) 36 m and 60 m^2 2) 15π/2 + 10 m and 75π/4 m^2
Step-by-step explanation:
Using the pythagorean theorem in the first question, we get that the slope is 10 m so the perimeter = 10 + 14 + 6 + 6 = 36 m and the area is
(14 + 6)*6/2 = 60 m^2
So in the next question, the arc of the circle has a length of
2π*5*3/4 = 15π/2
So the perimeter is 15π/2 + 5 + 5 = 15π/2 + 10 m
And the area is 3/4*π*5*5=75π/4 m^2
Hope it helps