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$\cdot$ A car is traveling due north at 23.6 $\mathrm{m} / \mathrm{s}$ . Find the velocity ofthe car after 7.10 $\mathrm{s}$ if its acceleration is (a) 1.30 $\mathrm{m} / \mathrm{s}^{2}$ due north,or $(\mathrm{b}) 1.15 \mathrm{m} / \mathrm{s}^{2}$ due south.

(a) final velocity of the car $\mathrm{v}=32.83 \mathrm{m} / \mathrm{s}$(b) final velocity of the car $=15.435 \mathrm{m} / \mathrm{s}$

Physics 101 Mechanics

Chapter 2

One-Dimensional Kinematics

Motion Along a Straight Line

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Okay, So in this problem, have a car traveling north with initial velocity off 23.6 meters per second. We have two questions to answer this problem. The first item. Let's see. We have to find out what is the velocity of the car knowing that he generates our acceleration off 1.3 meters per second square during a time off 7.1 seconds. The acceleration is also do not. That means the car is getting faster and faster is in the same direction of the movement. Deceleration. So are we discovered this? We want to find out what is the accelerator? What is the velocity? Sorry. And there is a creation that describes velocity with respect with the time That is zero plus a tea. So we just need to use desecration because is everything here? The final velocity is what we want to discover the any shit Velocities 23.6 plus one point tree times 7.1. So solving this we have velocity equals two. Let's see dirty too point 83 meters per second. This is the velocity of the first item. Second item The second item we want to find out also what is the final velocity? But this time the acceleration is one point 15. The time of the acceleration is also 7.21 seconds. He's re meters per second scratch, but this time the acceleration is due south. That means he slowing the car because the acceleration is in the opposite direction of the movement. So again, using the same creation we have philosophy was to 23 0.6, minus 1.15 times seven point one. So in this we have the final velocity off 15 point or three five meters per second. Always remember, negative accelerations means that they are in the opposite direction off the movement off the object. So it is slowing the object in time. Well, that's the final answer. Thanks for watching.

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