In a historical movie, two knights on horseback start from rest 76 m apart and r

Question

In a historical movie, two knights on horseback start from rest 76 m apart and ride directly toward each other to do battle. Sir George's acceleration has a magnitude of 0.17 m/s2, while Sir Alfred's has a magnitude of 0.3 m/s2. How far from Sir George's starting point do the knights collide?

Suppose a car is traveling at 17.0 m/s, and the driver sees a traffic light turn red. After 0.550 s has elapsed (the reaction time), the driver applies the brakes, and the car decelerates at 6.00 m/s2. What is the stopping distance of the car, as measured from the point where the driver first notices the red light?

Explanation / Answer

In an historical movie, two knights on horseback start from rest95.9 m apart and ride directly toward each other to do battle. Sir George's acceleration has a magnitude of 0.284 m/s2,while Sir Alfred's has a magnitude of 0.371 m/s2.Relative to Sir George's starting point, where do the knights collide? Relative to Sir George's starting point, let s is the distance at which they collide. The time of collision of both should be the same. Distance moved by Sir George in time t s = 0.5 at^2 = 0.5*0.284 t^2--------------1 Distance moved by the other in the same time from the other end 95.9 - s = 0.5*0.371 t^2 --------------------2 Adding 1 and 2 95.9 =( 0.142 +0.1855 t^2 = 0.3275 t^2 t^2 = 292.82 s^2 substituting in 1 s = 0.142* 292.82 m s = 41.58 m from Sir George's starting point.

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