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Speed calculations are based on distance and time.
B.
Velocity must have a direction.
C.
Speed can be measured in meters per second.
D.
Velocity can be measured in meters per second.
Correct Answer B. Velocity must have a direction.
Explanation Velocity is a vector quantity that includes both magnitude and direction, whereas speed is a scalar quantity that only includes magnitude. This means that velocity not only tells us how fast an object is moving, but also in which direction it is moving. On the other hand, speed only tells us the rate at which an object is moving, without any information about its direction. Therefore, the statement "velocity must have a direction" correctly distinguishes between speed and velocity.
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2.
A person riding a bike travels 214 meters in 58 seconds. Calculate the person's velocity.
Correct Answer 3.7 m/s 3.7 meters/second
Explanation Velocity is defined as the rate at which an object changes its position. It is calculated by dividing the distance traveled by the time taken. In this case, the person travels 214 meters in 58 seconds. Therefore, the velocity is 214 meters divided by 58 seconds, which equals 3.7 meters/second or 3.7 m/s.
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3.
A train maintains a constant velocity of 16.0 meters per second. Calculate the distance the train has traveled after 26.0 seconds.
Correct Answer 416 m 416 meters
Explanation The distance traveled by the train can be calculated by multiplying its velocity (16.0 m/s) by the time (26.0 seconds). Therefore, the distance traveled by the train after 26.0 seconds is 416 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.
Correct Answer 33.33 s 33.33 seconds
Explanation The time it takes for an object to travel a certain distance can be calculated by dividing the distance by the velocity. In this case, the distance is 400.00 meters and the velocity is 12.00 meters per second. Dividing 400.00 by 12.00 gives us 33.33, which represents the time it will take for the boat to travel 400.00 meters.
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5.
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!)
Correct Answer 1620 m 1,620 m 1620 meters 1,620 meters
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. There are 60 seconds in 1 minute, so 1.50 minutes is equal to 1.50 * 60 = 90 seconds.
Now, we can use the formula distance = velocity * time. Plugging in the values, we get distance = 18.0 m/s * 90 s = 1620 m.
Therefore, the car has traveled a distance of 1620 meters after 1.50 minutes.
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6.
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!)
Correct Answer 105.3 s 105.3 seconds
Explanation The time it takes to travel a certain distance can be calculated by dividing the distance by the velocity. In this case, the distance is given as 2.0 kilometers and the velocity is given as 19.0 meters per second. To ensure consistent units, we convert the distance to meters by multiplying it by 1000. Then, we divide the distance (2000 meters) by the velocity (19.0 meters per second) to get the time in seconds. The calculation yields 105.3 seconds.
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7.
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.
Correct Answer 45 meters/second 45 m/s
Explanation When the airplane encounters a tailwind, the velocity of the wind is added to the velocity of the airplane. In this case, the airplane is maintaining a constant velocity of 30.0 meters per second and encounters a tailwind of 15 meters per second. Therefore, the new resultant velocity of the airplane is the sum of these two velocities, which is 45 meters per second.
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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!)
Correct Answer 24 m/s 24 meters/second
Explanation The golf ball's velocity can be broken down into two components: one in the north direction and one in the west direction. The north component remains unchanged at 21 m/s. The west component is the wind speed of 12 m/s. To find the resultant velocity, we can use the Pythagorean theorem. The magnitude of the resultant velocity is the square root of (21^2 + 12^2) = 24 m/s. The direction of the resultant velocity can be found using trigonometry, but since the question does not specify, we can assume it is in the north direction. Therefore, the new resultant velocity is 24 m/s.