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kobusy [5.1K]
3 years ago
13

A car traveling at 23 mi/h accelerates to 46 mi/h in 5 seconds. It maintains that speed for 5 seconds and then slows to a stop i

n 5 seconds. Sketch and label a graph showing the car’s speed over time

Mathematics
1 answer:
Nataliya [291]3 years ago
5 0

Answer:

It is given that a car traveling at 23 mi/h accelerates to 46 mi/h in 5 seconds.

This means that in 5 seconds it's speed continuously increases to reach 46 mi/h from 23 mi/h.

It maintains that speed for 5 seconds and then slows to a stop in 5 seconds.

This means that the speed of the car is constant i.e. 46 mi/h i.e. the graph is a straight horizontal line parallel to the time axis.

And then it decreases to reach 0 mi/h.

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So, radius, R = \frac{6}{2} \Rightarrow 3 feet

Let height of cylinder be h feet.

Formula for volume of cylinder is given by:

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We are given that,

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Using formula for volume, V = \pi R^{2} H

\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft

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