You are driving on country roat at 20 m/s. There is car50 m in front of you driv

Question

You are driving on country roat at 20 m/s. There is car50 m in front of you drivin at same spped. Both of you seesomething on road in front and brake at same time. Car infront has deceleration of 5 m/s squared. Your cardeclerates at 2 m/s squared. What is distance that car in front of you travels fromtime it starts to brake till it stops? How much distance does your car need to fully stop Does your car hit car in front If it hits car in front what's speed of your car when runninginto car in front If your car doesn't collide into car in front then what'sdistance between you and that car when both of you stop? You are driving on country roat at 20 m/s. There is car50 m in front of you drivin at same spped. Both of you seesomething on road in front and brake at same time. Car infront has deceleration of 5 m/s squared. Your cardeclerates at 2 m/s squared. What is distance that car in front of you travels fromtime it starts to brake till it stops? How much distance does your car need to fully stop Does your car hit car in front If it hits car in front what's speed of your car when runninginto car in front If your car doesn't collide into car in front then what'sdistance between you and that car when both of you stop?

Explanation / Answer

The distance the car in front of you travels: -- v(f)^2 = v(i)^2 + 2 ad -- v(f) = final velocity = 0 v(i) = initial velocity = 20 m/s a = acceleration = 5 m/s -- solve for d: -- d = [v(f)^2 - v(i)^2] / 2a d = _____________ m -- -- Now, the distance it takes for your car to stop: -- v(f)^2 = v(i)^2 + 2 ad -- v(f) = final velocity = 0 v(i) = initial velocity = 20 m/s a = acceleration = 2 m/s -- solve for d: -- d = [v(f)^2 - v(i)^2] / 2a d = _____________ m -- -- In calculating the values above, is the distance that your cartakes to stop more than than the distance the other car takes plusthe 50 m distance between cars? Yes... -- -- Speed when hitting the other car? -- -- v(f)^2 = v(i)^2 + 2ad -- solve for v(f): v(f) = [(v(i)^2 + 2ad] --> a = 2 m/s^2 and d= 90 mand v(i) = 20 m/s v(f) = __________ m/s -- -- Distance between cars if they do not collide? -- Cars do collide.... -- -- Hope this helps. v(f)^2 = v(i)^2 + 2 ad -- v(f) = final velocity = 0 v(i) = initial velocity = 20 m/s a = acceleration = 2 m/s -- solve for d: -- d = [v(f)^2 - v(i)^2] / 2a d = _____________ m -- -- In calculating the values above, is the distance that your cartakes to stop more than than the distance the other car takes plusthe 50 m distance between cars? Yes... -- -- Speed when hitting the other car? -- -- v(f)^2 = v(i)^2 + 2ad -- solve for v(f): v(f) = [(v(i)^2 + 2ad] --> a = 2 m/s^2 and d= 90 mand v(i) = 20 m/s v(f) = __________ m/s -- -- Distance between cars if they do not collide? -- Cars do collide.... -- -- Hope this helps.

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