Chapter 1

A cyclist travels from A to B, a distance of 240 metres. He passes A at 12 m s1, maintains this speed for as long as he can, and then brakes so that he comes to a stop at B. If the maximum deceleration he can achieve when braking is 3 m s2, what is the least time in which he can get from A to B?

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A cyclist travels from A to B, a distance of 240 metres. He passes A at 12 m s1, maintains this speed for as long as he can

A cyclist travels from A to B, a distance of 240 metres. He passes A at 12 m s1, maintains this speed for as long as he can

The speed limit on a motorway is 120 km per hour. What is this in SI units?

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3 October 2023 by alevelmechanics1.com Intro: In this numerical problem, we will be converting the speed limit from a motorway, which is typically measured in kilometers per hour (km/h), into the equivalent value in the International System of Units (SI units). The SI unit for speed is meters per second (m/s), so we will perform the necessary … Read more

How long will an athlete take to run 1500 metres at 7.5 m s^-1?

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In this numerical scenario, we’re examining how much time an athlete will require to complete a 1500-meter run at a constant speed of 7.5 meters per second. This calculation is crucial for understanding athletic performance and race times. 3 October 2023 by alevelmechanics1.com meta data: Question Type: This is a physics or mathematics question involving the calculation … Read more

A train maintains a constant velocity of 60 m s due south for 20 minutes. What is its displacement in that time? Give the distance in kilometres.

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Intro: In this scenario, a train is traveling with a consistent velocity of 60 meters per second in a southerly direction over a period of 20 minutes. The objective is to determine the train’s displacement during this time frame and express it in kilometers, thus showcasing the application of physics principles in real-world situations. 3 … Read more

How long will it take for a cruise liner to sail a distance of 530 nautical miles at a speed of 25 knots? (A knot is a speed of 1 nautical mile per hour.)

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3 October 2023 by alevelmechanics1.com Intro: In this numerical scenario, we’ll be delving into the world of maritime travel. We have a cruise liner embarking on a journey, and the task at hand is to calculate the time required for this ship to sail a specific distance of 530 nautical miles. To make this calculation, we’re provided … Read more

Some Antarctic explorers walking towards the South Pole expect to average 1.8 kilometres per hour. What is their expected displacement in a day in which they walk for 14 hours?

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3 October 2023 by alevelmechanics1.com Intro: A group of brave Antarctic explorers is aiming to reach the South Pole, expecting to walk at an average speed of 1.8 kilometers per hour. The question at hand is: What will be their total displacement after walking for 14 hours? This scenario highlights the challenges and determination of these adventurers … Read more

Here is an extract from the diary of Samuel Pepys for 4 June 1666, written in London. ‘We find the Duke at St James’s, whither he is lately gone to lodge. So walking through the Parke we saw hundreds of people listening to hear the guns.’ These guns were at the battle of the English fleet against the Dutch off the Kent coast, a distance of between 110 and 120 km away. The speed of sound in air is 344 m sTM. How long did it take the sound of the gunfire to reach London?

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In this historical excerpt from Samuel Pepys’ diary on June 4, 1666, we glimpse London during a significant event – the battle between the English and Dutch fleets off the Kent coast. As Pepys observes the scene at St James’s, he notes the crowd listening intently to the distant sounds of gunfire. The curiosity arises: … Read more

Light travels at a speed of 3.00 × 108 m s. Light from the star Sirius takes 8.65 years to reach the earth. What is the distance of Sirius from the earth in kilometers?

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Title: Cosmic Commute: Sirius Connection Introduction: Embarking on a cosmic odyssey, this numerical voyage unravels the distance that light traverses on its interstellar journey from the star Sirius to Earth. A celestial connection forged over 8.65 years becomes the focal point, revealing the vast distances bridged by the cosmic messenger, light. Scenario Overview: Sirius, a … Read more

A balloon at a height of 300 m is descending at 10 ms-1 and decelerating at a rate of 0.4 ms-2 How long will it take for the balloon to stop descending, and what will its height be then?

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A balloon at a height of 300 m is descending at 10 ms and decelerating at a rate of 0.4 ms 2.

Title: Soaring Heights: The Balloon’s Descent: A balloon at a height of 300 m is descending at 10 ms and decelerating at a rate of 0.4 ms-2 ….. Introduction: Embarking on an atmospheric descent, this numerical voyage navigates the trajectory of a balloon gracefully descending from the lofty heights. Decelerating at a controlled rate, the … Read more

A train is travelling at 80 m s1 when the driver applies the brakes, producing a deceleration of 2 ms 2 for 30 seconds. How fast is the train then travelling, and how far does it travel while the brakes are on?

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3 October 2023 by alevelmechanics1.com Title: Braking Momentum: Deceleration Chronicles Introduction: Embarking on a journey of braking dynamics, this numerical exploration delves into the scenario of a train hurtling at 80 m/s. When the driver commands a forceful deceleration, the train’s journey transforms, unraveling the intricacies of speed reduction and the spatial displacement during braking. Scenario Overview: … Read more