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Agent Bond is standing on a bridge, 13 $\mathrm{m}$ above the road below, and his pursuers are getting too close for comfort. He spots a flatbed truck approaching at $25 \mathrm{m} / \mathrm{s},$ which he measures by knowing that the telephone poles the truck is passing are 25 $\mathrm{m}$ apart in this country. The bed of the truck is 1.5 $\mathrm{m}$ above the road, and Bond quickly calculates how many poles away the truck should be when he jumps down from the bridge onto the truck, making his getaway. How many poles is it?

1.5 poles

Physics 101 Mechanics

Chapter 2

Describing Motion: Kinematics in One Dimension

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Cornell University

University of Sheffield

University of Winnipeg

Lectures

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Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

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In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

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so James Bond's needs and James Won't needs to jump off the building to jump off the bridge. Needs to land on the land on the top of the truck. And then he's trying to see how many pull Essentially, how many light? How many light pulls away? Uh, the truck needs to be so that when he jumps, he perfectly lands on the top of a truck. So we can say that we're gonna choose downwards to be positive. Um, why initial would be the height of the bridge and then the top of the truck would be. Why final? Of course. Ah, the acceleration is positive. G. And then his total displacement delta y would be equal to a 13 meters minus 1.5 meters. This would give us 11 and 1/2 meters, and then we can say that Delta y equals the why initial t plus 1/2 g t squared. We need to find t so cheese gonna equal delta two times Delta y rather the square root of two times at the Y, divided by G and a week in salt, but two times 11.5 meters divided by 9.8 meters per second squared. This is giving us 1.532 seconds. Now let's if the truck is approaching out of velocity of 25 years per 2nd 25 minutes per second, we can say that the distance would be equal to V. Times T in this case 25 meters per second, multiplied by 1.532 seconds. This is giving us 38.3 meters. So James Bond has to jump when the truck is exactly 38.3 meters in order for him to jump on exactly on top of the on top of the truck. And if we want to convert this into poles so essentially we can say that deed equals 38.3 meters, multiplied by one poll every 25 meters. And so, essentially, when the truck is approximately 1.53 pulls away. So one and 1/2 poles away from James Bond, he can then jump and he will perfectly land on top of the truck. That is the end of the solution. Thank you for watching

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