# Question: At a merging on ramp of a busy Los Angeles freeway

At a merging on-ramp of a busy Los Angeles freeway, car A is moving directly east on the freeway at a steady speed of 35.0 m/s. Car B is merging onto the freeway from the on-ramp, which points north of due east, moving at 30.0 m/s. (Fig. 3.39.) If the two cars collide, it will be at the point marked x in the figure, which is 350 m down the road from the position of car A. Use the x– y coordinate system to signify E–W versus N–S directions.

(a) What is the velocity of car B relative to car A?

(b) Show that they do not collide at point x.

(c) Determine how far apart the cars are (and which car is ahead) when car B reaches point x.

(a) What is the velocity of car B relative to car A?

(b) Show that they do not collide at point x.

(c) Determine how far apart the cars are (and which car is ahead) when car B reaches point x.

**View Solution:**## Answer to relevant Questions

A ball rolling on a table has a velocity with rectangular components vx = 0.60 m/s and vy = 0.80 m/s. What is the displacement of the ball in an interval of 2.5 s? The weight of a 500-kg object is 4900 N. (a) When the object is on a moving elevator, its measured weight could be (1) zero, (2) between zero and 4900 N, (3) more than 4900 N, (4) all of the preceding. Why? (b) Describe ...A car coasts (engine off) up a 30o grade. If the speed of the car is 25 m/s at the bottom of the grade, what is the distance traveled by the car before it comes to rest? At the end of most landing runways in airports, an extension of the runway is constructed using a special substance called formcrete. Formcrete can support the weight of cars, but crumbles under the weight of air-planes to ...In the frictionless apparatus shown in Fig. 4.43, m1 = 2.0 kg. What is m2 if both masses are at rest? How about if both masses are moving at constant velocity?Post your question