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Frak driviny his Car on 4 Hat Countw mad aud about t pass an Onb akd Curxecl Sechbn oP +M_rac Yo Knde) the Cxle_iS laOm and CozHicient of_static fcictim betwey1 the...

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Frak driviny his Car on 4 Hat Countw mad aud about t pass an Onb akd Curxecl Sechbn oP +M_rac Yo Knde) the Cxle_iS laOm and CozHicient of_static fcictim betwey1 the car trs and 04d 1 0.75 Cen tn? nkat'On ~hat_iS +n mcXimum 2peed to th neares | 6.La/s , tncct tcan k can Pass tho Cvvedl Sectbn tho kood wtthbst Skid; ding

Frak driviny his Car on 4 Hat Countw mad aud about t pass an Onb akd Curxecl Sechbn oP +M_rac Yo Knde) the Cxle_iS laOm and CozHicient of_static fcictim betwey1 the car trs and 04d 1 0.75 Cen tn? nkat'On ~hat_iS +n mcXimum 2peed to th neares | 6.La/s , tncct tcan k can Pass tho Cvvedl Sectbn tho kood wtthbst Skid; ding



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Dan’s parents are going to pay for half of his car if he gets a 90 aver- age in math for all four marking periods and the fi nal exam. Here are his grades for the first four quarters: 91, 82, 90, and 89. What grade
does he need on his fi nal exam to have a 90 average?

We're giving the pressure in which we have in bringing cover, traveling in its indirection. Behind Trump, we have a second car booking offices direction. So we're told that the distance it's really the two cars is 500 meters. With distance that way need to overtake Trump. It's only 40 years. So what we're going to do is write demanded the creation of ocean for H three vehicles. We're total conditionally that the velocity of Trump your car is 18 meters first, excellent issues His 0.6 litres per second for the green car vented zero for Trump. Our heart is traveling in the opposite direction is different and great car, so it's going to make it 25%. They're acceleration is here. We're going to write our operations inversion in a general form Just hurt. By this they come to me that that is, the displacement is equal to live initial velocity. It's a ratio. So the first thing you need to know is how long will it take green heart over going at this facility. So our relative velocity, the velocity that we're going to use it are integrated solution is actually the velocity of the truck minus to plus here. Car. They want to see a direction we need to be tried with faster than the truck. You're over thinking it's our displacement is 40 meters that is going to be equal to 18 years for a second time. Just a paucity of card. Just 18 meters per second, which is the policy of the truck, but one, the acceleration Coffee Times Square. Now we have the equation which we can solve, and it will be that is you need to take 11.5 seconds at this acceleration counts the truck. The second question we must ask ourselves is, How long will it take the truck? It is the cover today, sort of distance between those two is going to be 460 meters. This is simply equal to the velocity between what? We're going to add velocity. Since the hardline towards each other, we have 25 times. This is a relatively simple, appreciate emotion sense. It's no acceleration, and this leads us to solve for a time anything that it takes 10.7 seconds for the blue car to reach the truck. Sensible take longer for us to house the ark in the burning heart. We cannot safely overtake the it will collide with

We're going to look at a situation in which there is a vehicle small green car, probably behind Hey, our director and they're going at the same speed. We would like to know if this green car can safely overtake the truck. There is a different blue car travelling in the direction and we're also told that this green car is going to accelerate at 0.6 meters per second squared, given that a green car and the truck or traveling at the same speed of 18 meters per second and the blue cars traveling at 25 meters per second. So we're told that we're 10 meters away from the truck. Truck is 20 meters on and we need an extra 10 meters of safe passing distance. That's just a total 40 meters that needs to be trailer in order for us. In order for the green car, it's safely over, kid. We were also told that the green car is 500 meters away from the blue car and the way we solve this problem is we right. The Kinnah Matic equations of motion for you three vehicles. This equation is relatively simple and it looks like this the change in X, which is going to be seen as our displacement equal to the initial velocity, uh, particle in a general case or, in this case, each vehicle, plus the acceleration times, Time Square So we can write the equation emotion for the green car for since it's the most difficult, however, we know that the change in displacement is going to be cool. 40 meters. This will be equal to the initial velocity times time plus the acceleration times, Times Square. However, we need to take this with respect, Trump. And it's not sufficient that we merely across this distance, But we need to do so faster than the truck we're actually blinking. Subtract trucks, velocity lives time here. So when we solve for time, we will see that it will take 11.5 five seconds past the truck for the green car. Now we need to know in this time will we be able to safely traverse this distance before the blue car reaches the truck. So the next can dramatic equation of motion we're going to write is that for blue car with respect to the truck. So the distance in time excuse me displacement in this situation is going to be equal to 460 because that is the distance away from the red truck that we are. This is going to be equal to the initial velocity of but blue car. However, taken in consideration that we're traveling towards the red truck in the blue car. Scuse me, they are We will had those velocities together times time and there's no acceleration. So this is it. This is our can dramatic a quick shot of ocean it will take when we saw for time. It will tell us how long it will take for the blue car in the red truck to meet and it will be 10.7 seconds. And we can see that the time that it takes us to pass the truck is greater than time. That it takes the blue truck the blue car to meet the truck. This tells us it is not safe to pass

Today we have a very interesting physics problem that you will run into in your daily life, and that is whether or not it is safe to overtake a trump. We traveled down the road when another car is traveling in the office it direction, so we know three speeds of vehicles. The green car is traveling at the same speed as the red truck at a distance of 10 meters away. The red truck is 20 meters well and you need an extra 10 meters distance. The safe for you overtake the vehicle, the retro, and we also know that the green car is 500 meters away from your Boukar. So what we're going to do is write our can dramatic equations of motion for the three vehicles, and these equations come in a general form as the displacement Delta X is equal to the initial velocity. Be not times time. What's acceleration times? Time squared Now, instead of write a three equations from the reference point of the green car, we are going to write two equations from the reference point of the red truck. This sounds more complicated than it truly is. We're simply going to taking into consideration the velocity of the red truck when writing the green car cinematic equations as those that of the blue car that will allow us to write these equations with respect to the truck, which gives this a more directors or so for the blue car we have that total X is equal 18 times time plus 0.6 next time squared 0.6 is the acceleration of the great car, and this is meters per second squared minus 18 times time. Taking into account the red truck. However, we know that the passing distance is 10 plus 20 plus 10. 40 meters is our total displacement solving this equation for time. It tells us how long it would take for the green car to pass the truck. Our second cinematic equation is that for the blue car, we know that this displacement with respect to the red truck, it's actually 500 minus the distance that the green car has to trippers. So we have 460 meters equal to 25 times time. However, with consideration of the right truck, the blue car is traveling in the opposite direction, straight towards the red truck there traveling towards each other at these velocities meeting that the effective velocity is going to be the two added together 25 plus 18 times time solving for time in this case tells us how long it would take the blue car on the right truck to meet. And seeing as how it would take longer for the green card to pass the red truck rather than the truck meeting the blue car, it is not safe to pass.


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