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1) An electric car accelerates from rest at a stop light to a speed of 15m/s wit

ID: 1883367 • Letter: 1

Question

1) An electric car accelerates from rest at a stop light to a speed of 15m/s with an acceleration of 2.5m/s^2. It then slows to a stop at the next light at a constant deceleration of 1.5 m/s^2. How far does the car travel between the traffic lights?

2) You are driving your car, and the traffic light ahead turns red. You apply the brakes for 3.00s, and the velocity of the car decreases to +4.50m/s. The car's deceleration has a magnitude of 2.70m/s^2 during this time. What is the car's displacement?

3) In a historical movie, two nights horseback start from rest 65.0m apart and ride directly toward each other during a jousting match. Sir George's acceleration has a magnitude of 0.300m/s^2, while Sir Alfred's has a magnitude of 0.200m/s^2. Relative to Sir George's starting point, where do the knights collide?

Many thanks for any help. :-)

Explanation / Answer

1.

Distance travelled during acceleration

d= (v^2)/(2*a)= 15^2/(2*2.5)= 45 m

Total distance= 2*45= 90 m

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