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Finger [1]
2 years ago
10

If an object is dropped from a height of 144 feet, the function gives the height of the object after t seconds. When will the ob

ject hit the ground?
Mathematics
1 answer:
IgorC [24]2 years ago
7 0
A=-32  (acceleration is the constant g)  integrating with respect to t

v=-32t+vi  but initial velocity is equal to zero as it is just "dropped".

h=-32t^2/2+hi, since the initial height is 144 ft

h(t)=-16t^2+144

The object will be at the ground when h(t)=0

-16t^2+144

-16(t^2-9)=0  

-16(t+3)(t-3)=0, but since we know t>0

t=3 seconds.
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PLEASE CHECK MY ANSWERS (PART 2)
Anna007 [38]
3 is incorrect, should be 28.9

16^2 + 18^2 = EG^2
256 + 324
580 = EG^2
EG ≈ 24.08

16^2 + 24.08^2 = AG^2
256 + 580 = AG^2
836 = AG^2
AG ≈ 28.9

5 is incorrect:

The base is 8.
Draw an altitude the base.
Since the triangle is isoceles, it divides the base in half.
Half of that base is 4.
Two right triangles have been formed with one leg 4 and hypotenuse 8.
4^2 + b^2 = 8^2
16 + b^2 = 64
b^2 = 48
b ≈ 6.93

The height of the triangle is 6.93, the base is 8.
A = bh/2 = 8*6.93/2 ≈ 27.7 ≈ 28



3 0
3 years ago
Simplify your answer completely. -2 4/6 / -2/3
skad [1K]
Your answer is 2. Hope this helps! 
4 0
3 years ago
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Is 5768 divisible by 2
Alexandra [31]
Yes it is divisible by 2. The answer would be 2884.
Thank you
4 0
3 years ago
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Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h
Nikitich [7]

Answer: 5 inches


Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = a^2=6^2=36\ inches^2

we know that volume of square right pyramid=\frac{1}{3}\times\ a^2h

Therefore, volume of square right pyramid made by all of clay=\frac{1}{3}\times\ a^2h=48 cubic inches

\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}

Now, slant height l=\sqrt{(\frac{a}{2})^2+h^2}

\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5

The slant height of the pyramid if Helen uses all the clay=5 inches

5 0
3 years ago
Read 2 more answers
Indicate whether the following question is a statistical question. Explain why or why not.
Dimas [21]
It’s a question because there is not value of time.
8 0
3 years ago
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