A participant in a marathon runs at an average speed of 4 metres per second. What distance will she cover in 10 minutes?150 m240 m40 m2.4 km2In part of a race, a car covers a distance of 2 km at an average speed of 40 m/s. How long did it take to complete this part of the race?20 s80 s50 s0.05 s3A man jogs 200 m in one minute, rests for 30 seconds, and then jogs a further 300 m in two minutes. Calculate his average speed for this journey.2.50 m/s3.33 m/s2.38 m/s2.92 m/s4A man jogs 200 m at a constant speed for one minute, rests for 30 seconds, and then jogs a further 300 m at a constant speed for two minutes. Calculate his maximum speed for this journey.2.92 m/s2.38 m/s2.50 m/s3.33 m/s5Which of the following is the approximate speed at which a cyclist might travel, on average?5 m/s0.5 m/s50 m/s500 m/s6In the lab, a rubber bung is attached to a piece of string and is swung around in a circular path. The rubber bung moves around its circular path at a steady rate of one complete revolution per second. Which of the following statements correctly describes its motion?Its velocity is constant but its speed is always changingBoth its speed and its velocity are constantIts speed is constant but its velocity is always changingBoth its speed and its velocity are always changing
Question
A participant in a marathon runs at an average speed of 4 metres per second. What distance will she cover in 10 minutes?150 m240 m40 m2.4 km2In part of a race, a car covers a distance of 2 km at an average speed of 40 m/s. How long did it take to complete this part of the race?20 s80 s50 s0.05 s3A man jogs 200 m in one minute, rests for 30 seconds, and then jogs a further 300 m in two minutes. Calculate his average speed for this journey.2.50 m/s3.33 m/s2.38 m/s2.92 m/s4A man jogs 200 m at a constant speed for one minute, rests for 30 seconds, and then jogs a further 300 m at a constant speed for two minutes. Calculate his maximum speed for this journey.2.92 m/s2.38 m/s2.50 m/s3.33 m/s5Which of the following is the approximate speed at which a cyclist might travel, on average?5 m/s0.5 m/s50 m/s500 m/s6In the lab, a rubber bung is attached to a piece of string and is swung around in a circular path. The rubber bung moves around its circular path at a steady rate of one complete revolution per second. Which of the following statements correctly describes its motion?Its velocity is constant but its speed is always changingBoth its speed and its velocity are constantIts speed is constant but its velocity is always changingBoth its speed and its velocity are always changing
Solution
Sure, I can help with that. Here are the answers to your questions:
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To find the distance covered in 10 minutes, we multiply the speed by the time. However, the time needs to be in the same units as the speed, so we convert 10 minutes to seconds (10 minutes * 60 seconds/minute = 600 seconds). Then we multiply: 4 m/s * 600 s = 2400 m, or 2.4 km. So the answer is 2.4 km.
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To find the time it takes to cover a certain distance at a certain speed, we divide the distance by the speed. So, 2000 m / 40 m/s = 50 s. The answer is 50 s.
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To find the average speed, we divide the total distance by the total time. The total distance is 200 m + 300 m = 500 m. The total time is 1 minute + 30 seconds + 2 minutes = 3.5 minutes, or 210 seconds. So, 500 m / 210 s = 2.38 m/s. The answer is 2.38 m/s.
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The maximum speed would be during the periods of jogging. The speed during the first jog is 200 m / 60 s = 3.33 m/s. The speed during the second jog is 300 m / 120 s = 2.5 m/s. So the maximum speed is 3.33 m/s.
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A typical speed for a cyclist might be 5 m/s.
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If the rubber bung is moving in a circular path at a steady rate, its speed is constant (the same distance is covered in each second). However, its velocity, which includes direction, is always changing because the direction of motion is always changing. So the answer is "Its speed is constant but its velocity is always changing".
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