The minimum speed with which Captain Brady had to run off the edge of the cliff to make it safely to the far side of the river is around 6 meters per second.
<h3>Further explanation</h3>
This is a free fall 2-dimensional type of problem, therefor we can write equations for both dimensions which model the fall of captain Brady. Let's call <em>x </em>the distance travelled by the captain on the horizontal direction and <em>y </em>the distance travelled on the vertical direction.
Lets suppose that Brady jumped with a complete horizontal velocity from a point which we will call the origin (meaning zero horizontal and vertical displacement), and let's call <em>ta</em> the time it took for captain Brady to reach the river (meaning the time he spent on the air). The equations of motion for the captain will be:
We know that at time <em>ta</em> the captain would have traveled 6.7 m on the horizontal direction, and 6.1 m in the vertical direction. Therefor we can write that:
Which gives us a system of 2 equations and 2 unknowns (<em>V</em> and <em>ta</em>). From the second equation we can solve for <em>ta</em> as:
And solving for <em>V</em> on the first equation, we find that:
Which is almost 6 meters per second.
<h3>Learn more</h3>
<h3>Keywords</h3>
Free fall, projectile, gravity
Answer:
330 m/s
Explanation:
The sound wave has to travel TO the cliff AND back = 2 * 49.5 = 99 m
magnitude of velocity = distance / time = 99m / .3 s = 330 m/s
I really think it could be a 23 kg
Determine the rule that the numbers in the sequence obey, and then utilize this rule to determine the missing term to complete a number sequence. The rule that the numbers in the example above adhere to is "Add 8 and then remove 2." Therefore, 32 is the term that is missing from the given number sequence.
<h3>What is a number sentence?</h3>
- A number sentence is an equation or inequality that is articulated using numbers and mathematical symbols in the context of mathematics education.
- In the US, Canada, UK, Australia, New Zealand, South Africa, and other countries, the phrase is used in the instruction of elementary-level mathematics.
- The word is employed when asking pupils to write equations using fundamental mathematical symbols.
- Unknown values are sometimes denoted by boxes or forms.
- To introduce pupils to the ideas of structure and basic algebra before more formal teaching of these concepts, number sentences are utilized.
<h3>A math sentence is what?</h3>
- A mathematical statement about two expressions is made.
- Either integers, variables, or a combination of both are used in the two phrases.
- Additionally, words or symbols like equals, greater than, or less than can be used in a mathematical phrase.
Learn more about number sentences here:
brainly.com/question/13349953
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