# 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 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?

1. 👍
2. 👎
3. 👁
1. 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)

1. 👍
2. 👎
2. Da/(Vb-Va)

1. 👍
2. 👎
3. that helped me get a full mark thanks

1. 👍
2. 👎

## Similar Questions

1. ### 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

2. ### Physics

Two cars are traveling along a straight road. Car A maintains a constant speed of 79 km/h and car B maintains a constant speed of 114 km/h. At t = 0, car B is 36 km behind car A. (a) How much farther will car A travel before car B

3. ### Physics

Two cars travel westward along a straight highway, one at a constant velocity of 85 km/hr, and the other at a constant velocity of 115 km/hr. a) Sketch the velocity vs. time graph for both cars and paste your sketch in the space

4. ### physics

Two cars cover the same distance in a straight line. Car A covers the distance at a constant velocity. Car B starts from rest and maintains a constant acceleration. Both cars cover a distance of 487 m in 216 s. Assume that they

1. ### Physics

Two cars are driving at the same constant speed on a straight road, with car 1 in front of car 2. Car 1 suddenly starts to brake with constant acceleration and stops in 10 m. At the instant car 1 comes to a stop, car 2 begins to

2. ### Physics

Need Help with physics! Two cars drive on a straight highway. At time t = 0, car 1 passes mile marker 0 traveling due east with a speed of 17.0 m/s. At the same time, car 2 is 1.3 km east of mile marker 0 traveling at 30.0 m/s due

3. ### physics

Two cars both cover a straight distance, d = 268 m, in time t = 29 s. Car A moves at a constant velocity (vA). Car B moves at a constant acceleration (aB), starting from an initial velocity of v0B = 12 m/s. Assume both cars are

4. ### trigonometry

An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway on opposite sides of the plane, and the angle of depression to one car is 35° and to the other is

1. ### physics

Two cars are traveling along a straight line in the same direction, the lead car at 26 m/s and the other car at 40 m/s. At the moment the cars are 49 m apart, the lead driver applies the brakes, causing the car to have a

2. ### 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

3. ### Psychics

The speed of a car traveling on a straight road increases from 63 m/s to 75 m/s in 4.2 s what is the cars acceleration ? Please help

4. ### math

What might the creator of this graph want the reader to conclude? A. The car dealer sold twice as many cars in April as in January. B. The car dealer sold the most cars in January. C. The car dealer’s business is expanding very