Answer:
It will take the boulder approximately 4.28 seconds to hit the road
Step-by-step explanation:
The given height of the cliff from which the boulder falls, h = 90 feet
The equation that can be used to find the time it takes the boulder to fall is h = u·t + (1/2)·g·t²
Where;
h = The height of the cliff = 90 ft.
u = The initial velocity of the boulder = 0 m/s (The boulder is assumed to be at rest when it falls)
g - The acceleration due to gravity ≈ 9.81 m/s²
t = How long it will take for the boulder to hit the road below
Plugging in the values gives;
90 = 0 × t + (1/2)×9.81×t² = 4.905·t²
∴ t = √(90/4.905) ≈ 4.28
The time it takes the boulder to hit the road, t ≈ 4.28 seconds.
13 its not hard aslo give n if not no one can figure it out
The longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.
<h3>How to measure diagonal of the cuboid?</h3>
The length of the diagonal of the cuboid is found out using the following formula.
![D=\sqrt{l^2+b^2+h^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7Bl%5E2%2Bb%5E2%2Bh%5E2%7D)
Here, (l) is the length of the cuboid, (w) is the width, and (h) is the height of the cuboid.
The wood has to buy to build a gate for backyard. The car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches). Here, we have,
- Length (l)=47 in
- Width (w)=33 in
- Height (h)=19.5 in
The longest piece of wood which fits is equal to the length of diagonal of cuboid. Put the values in the formula,
![D=\sqrt{47^2+33^2+19.5^2}\\D=\sqrt{3678.25}\\D=60.65\rm\; in](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B47%5E2%2B33%5E2%2B19.5%5E2%7D%5C%5CD%3D%5Csqrt%7B3678.25%7D%5C%5CD%3D60.65%5Crm%5C%3B%20in)
Thus, the longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.
Learn more about the cuboid here;
brainly.com/question/22694657
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