# physics

posted by .

Cars A and B are racing each other along a straight path in following manner: Car A has head start and is a distance dA beyond starting line at t=0. The starting line is at x=o. Car A travels at constant speed vA. Car B starts at starting line but has better engine than car A and travels at constant speed vB (which is greater than vA). How long after Car B started the race will Car B catch up with Car A? How far from Car B's starting line will the cars be when Car B passes Car A?

• physics -

To summarize:
At t=0
car A: x=dA, speed=vA
car B: x=0, speed=vB
When will car B overtake car A and where.

Distance to catch-up = dA
difference in speed = (vB-vA)
Time to catch up, T = dA/(vB-vA)
location where the two cars are side-by-side
= T*vB
= dA*vB/(vB-vA)

• physics -

sdjg

• physics -

Da/(Vb-Va)

## Similar Questions

1. ### math

distance = rate x time or d = r*t car traveling 40 mi/hr goes 40 mi/hr x 1.5 hrs head start or 60 miles head start. Let t = time bus and car travel. car travels distance of r*t = 40*t. Car already had 60 mi head start. Total distance …
2. ### physics

Cars A and B are racing each other along a straight path in following manner: Car A has head start and is a distance dA beyond starting line at t=0. The starting line is at x=o. Car A travels at constant speed vA. Car B starts at starting …
3. ### physics

Cars A and B are racing each other along the same straight road in the following manner: Car A has a head start and is a distance Da beyond the starting line at t=0. The starting line is at x=0. Car A travels at a constant speed Va. …
4. ### Physics

Two cars are traveling along a straight line in the same direction, the lead car at 24.5m/s and the other car at 29.8m/s. At the moment the cars are 41.4m apart, the lead driver applies the brakes, causing her car to have an acceleration …
5. ### math

2. manielle and ross were playing in the dirt and each found a caterpillar. they decided to race them, giving minelle's caterpillar a 2.5 foot head start from the starting line while ross' caterpillar began at the starting line. minelle's …
6. ### physics

a)Two cars are traveling along a straight line in the same direction, the lead car at 24.5m/s and the other car at 29.6m/s. At the moment the cars are 41.6m apart, the lead driver applies the brakes, causing her car to have an acceleration …
7. ### physics

Cars A and B are racing each other along the same straight road in the following manner: Car A has a head start and is a distance DA beyond the starting line at t=0. The starting line is at x=0. Car A travels at a constant speed vA. …
8. ### math word problem

You are in a car. The car begins your journey by traveling 3 miles south in a straight path. The car then travels 9 miles east in a straight path and then turns and travels another 9 miles south in a straight path to end the journey. …
9. ### Ortiz

a race track is 500 meters long.car A moves with a constant velocity of 40m/s, approaching the start line.when car A reaches the starting line, car b, who is waiting stationary at the starting line, accelerates at a rate of 10m/s^2. …
10. ### Physics

a race track is 500 meters long.car A moves with a constant velocity of 40m/s, approaching the start line.when car A reaches the starting line, car b, who is waiting stationary at the starting line, accelerates at a rate of 10m/s^2. …

More Similar Questions