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jok3333 [9.3K]
3 years ago
11

What is h, the total height in feet of the piece of plywood

Mathematics
1 answer:
podryga [215]3 years ago
6 0
14 feet long. ............
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A chestnut falls out of a tree 45 feet above the ground. Use the vertical motion model, H=-16t^2+vt+s s to find how long it take
valentinak56 [21]

Answer:

1.7 seconds

Step-by-step explanation:

we have

H=-16t^2+vt+s

where

v is the initial velocity (in feet per second)

s represents the initial height (in feet)

In this problem we have

v=0 ---> because the object is dropped

s=45\ ft

substitute

H=-16t^2+45

Remember that

When the chestnut hit the ground the value of H is equal to zero

so

For H=0

-16t^2+45=0

solve for t

16t^2=45\\t^2=2.8125\\t=\pm1.7\ sec

therefore

The solution is t=1.7 sec

7 0
3 years ago
Verify sin^4 x - sin^2 x = cos^4 x - cos^2 x is an identity
Citrus2011 [14]

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2

sin(x)^2 = 1 - cos(x)^2:

sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2

-(1 - cos(x)^2) = cos(x)^2 - 1:

cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2

sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:

-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2

(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:

-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2

-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:

cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2

The left hand side and right hand side are identical:

Answer:  (identity has been verified)

3 0
3 years ago
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