The difference between speed and velocity is that

velocity must have a direction.

speed calculations are based on distance and time.

speed can be measured in meters per second.

velocity can be measured in meters per second.

Velocity

2.

A train maintains a constant velocity of 16.0 meters per second. Calculate the distance the train has traveled after 26.0 seconds.

Explanation
The distance traveled by a train can be calculated by multiplying its velocity with the time it has traveled. In this case, the train has maintained a constant velocity of 16.0 meters per second for 26.0 seconds. Therefore, the distance traveled by the train can be calculated as 16.0 m/s * 26.0 s = 416 meters.

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1

3.

A car maintains an constant velocity of 18.0 meters per second. Calculate the distance the car has traveled after 1.50 minutes. (Be careful to watch the units!)

Explanation
The car maintains a constant velocity of 18.0 meters per second. To calculate the distance traveled, we need to convert the time from minutes to seconds. 1.50 minutes is equal to 90 seconds (1.50 minutes x 60 seconds/minute). Then, we can use the formula distance = velocity x time. Plugging in the values, we get distance = 18.0 m/s x 90 s = 1620 meters. Therefore, the correct answer is 1620 m, 1,620 m, 1620 meters, and 1,620 meters.

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4.

A speedboat maintains a constant velocity of 12.00 meters per second. Calculate the time it will take for the boat to travel 400.00 meters.

Explanation
The time it takes for an object to travel a certain distance can be calculated using the formula time = distance/velocity. In this case, the distance is given as 400.00 meters and the velocity is given as 12.00 meters per second. By dividing the distance by the velocity, we get 400.00/12.00 = 33.33 seconds. Therefore, it will take 33.33 seconds for the speedboat to travel 400.00 meters.

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5.

A person riding a bike travels 214 meters in 58 seconds. Calculate the person's velocity.

Explanation
The person's velocity can be calculated by dividing the distance traveled (214 meters) by the time taken (58 seconds). This gives a velocity of approximately 3.7 meters per second.

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6.

An airplane maintaining a constant velocity of 30.0 meters per second encounters a tailwind (from behind) of 15 meters per second. Assuming the pilot takes no action to speed up or slow down the plane, calculate the plane's new resultant velocity.

Explanation
When the airplane encounters a tailwind of 15 meters per second, it means that the wind is pushing the airplane forward with a velocity of 15 m/s. Since the airplane maintains a constant velocity of 30.0 m/s, the resultant velocity is the sum of the airplane's velocity and the velocity of the tailwind. Therefore, the new resultant velocity is 30.0 m/s + 15 m/s = 45.0 m/s.

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7.

A taxi maintains a constant velocity of 19.0 meters per second. Calculate the time it takes to travel 2.0 kilometers. (Be careful to watch the units!)

Explanation
The time it takes for the taxi to travel 2.0 kilometers can be calculated by dividing the distance by the velocity. In this case, the distance is given in kilometers, so it needs to be converted to meters by multiplying by 1000. Then, divide the distance by the velocity to get the time. In this case, 2.0 kilometers is equal to 2000 meters. Dividing 2000 meters by 19.0 meters per second gives a time of approximately 105.3 seconds.

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0

8.

A golf ball has a constant velocity of 21 meters per second traveling North. It encounters a strong 12 m/s wind from the west. Calculate the ball's new resultant velocity. (You will need graph paper or the Pythagorean Theorem!)

Explanation
The golf ball has a constant velocity of 21 meters per second traveling North. When it encounters a strong 12 m/s wind from the west, the wind's velocity can be considered as a vector pointing west with a magnitude of 12 m/s. To find the resultant velocity, we can use the Pythagorean theorem. The North velocity and West velocity form a right triangle, with the resultant velocity as the hypotenuse. Using the Pythagorean theorem, we can calculate the magnitude of the resultant velocity as √(21^2 + 12^2) = √(441 + 144) = √585 = 24 m/s. Therefore, the ball's new resultant velocity is 24 m/s.

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Velocity