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Mnenie [13.5K]
3 years ago
13

A red kangaroo hops at an average speed of 20km per hour. How fast is this in meters per minute?

Mathematics
1 answer:
masya89 [10]3 years ago
8 0

Answer:

333.3 meters per minute

Step-by-step explanation:

<u>The best way to solve this problem is using </u><u>dimensional anaysis</u><u>. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.</u>

\frac{20km}{1hr}

<u>We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.</u>

= \frac{20km}{1hr} *\frac{1000m}{1km} ...

<u>We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.</u>

= \frac{20km}{1hr} *\frac{1000m}{1km} * \frac{1hr}{60min}

<u>We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.</u>

= (20*1000*1)/(1*1*60) m/min

= 333.3 meters per minute

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Answer:

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Step-by-step explanation:

The given functions representing the height of the beach ball the child throws as a function of time are;

y = (-16·t - 2)·(t - 1) and y = -16·t² + 14·t + 2

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The zeros of a function are the values of the variables, 'x', of the function that makes the value of the function, f(x), equal to zero

In the function of the question, we have;

y = (-16·t - 2)·(t - 1) = -16·t² + 14·t + 2

The above equation can be written as follows;

y = (-16·t - 2) × (t - 1)

Therefore, 'y' equals zero when either (-16·t - 2) = 0 or (t - 1) = 0

1) The zero based on (-16·t - 2) = 0, is given as follows;

(-16·t - 2) = 0

∴ t = 2/(-16) = -1/8

t = -1/8 second

The zero based on (-16·t - 2) is t = -1/8 second

2) The zero based on (t - 1) = 0, is given as follows;

(t - 1) = 0

∴ t = 1 second

The zero based on (t - 1) is t = 1 second

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