This question involves the concepts of the law of conservation of energy, kinetic energy, and potential energy.
The height of the hill is "166.76 m".
<h3>LAW OF CONSERVATION OF ENERGY:</h3>
According to the law of conservation of energy at the highest point of the roller coaster ride, that is, the hill, the whole (maximum) kinetic energy of the roller coaster is converted into its potential energy:
where,
- h = height of the hill = ?
= maximum velocity = 57.2 m/s
- g = acceleration due to gravity = 9.81 m/s²
Therefore,
<u>h = 166.76 m</u>
Learn more about the law of conservation of energy here:
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Answer:
Let the height of the pole AB = x m. ∴ Length of shadow OB ol the pole AB = x m. Let the angle of elevation be ө, i.e. Hence, the angle of elevation of the Sun's altitude is 45°.
Explanation:
Hi there!
Great question!
Basketballs have air inside them. A special pump is used to insert the air. That's why you can lift the basketballs off the ground easily. If it was a solid, though, you'd hardly be able to lift the ball up! Basketballs can float, too, because anything with air inside can float. If it were solid, it would sink in the water easily.
Hope this helps! :D
Integrating the velocity equation, we will see that the position equation is:
<h3>How to get the position equation of the particle?</h3>
Let the velocity of the particle is:
To get the position equation we just need to integrate the above equation:
Then:
Replacing that in our integral we get:
Where C is a constant of integration.
Now we remember that 
Then we have:
To find the value of C, we use the fact that f(0) = 0.
C = -1 / 3
Then the position function is:
Integrating the velocity equation, we will see that the position equation is:
To learn more about motion equations, refer to:
brainly.com/question/19365526
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