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. Car B starts at the starting line but has a better engine than Car A, and thus Car B travels at a constant speed Vb, which is greater than Va.

A. How long after Car B started the race will Car B catch up with Car A?

B. How far from Car B's starting line will the cars be when Car B passes Car A?

  1. 👍 0
  2. 👎 0
  3. 👁 676
  1. When car B catches up, its' distance
    traveled will be greater than car A by
    an amount equal to Da; but their time
    on the road will be equal.

    A. da = Va*t = distance car A traveled.

    Da + da = Vb*t = distance traveled by car B,

    t = (Da + da) / Vb.

    B. Da + da = distance from car B start-
    ing line.

    1. 👍 0
    2. 👎 1
  2. 78

    1. 👍 0
    2. 👎 2

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

    asked by heather on December 2, 2012
  2. Physics

    The design of a new road includes a straight stretch that is horizontal and flat but that suddenly dips down a steep hill at 25°. The transition should be rounded with what minimum radius so that cars traveling 97 km/h will not

    asked by Anonymous on February 7, 2010
  3. 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

    asked by help on September 27, 2009
  4. Physics

    A car is being driven along a country road on a dark and rainy night at a speed of 20 m/s. The section of road is horizontal and straight. The driver sees that a tree has fallen and covered the road ahead. Panicking, the driver

    asked by Anne on November 6, 2011
  1. calculus

    A straight road makes an angle, A of 12 degrees. When the angle of elevation, B, of the sun is 55 degrees, a vertical pole beside the road casts a shadow 7 feet long parallel to the road. Approximate the length of the pole. Round

    asked by AEF on June 5, 2012
  2. langauge arts

    What is the best way to rewrite the following topic to form a focused thesis statement? Electric cars vs. Cars fueled with gasoline A. Cars fueled with gasoline shouldn't be allowed on the road, especially when electric cars are

    asked by Grace on April 10, 2015
  3. physics

    A banked circular highway curve is designed for traffic moving at 55 km/h. The radius of the curve is 220 m. Traffic is moving along the highway at 38 km/h on a rainy day. What is the minimum coefficient of friction between tires

    asked by Vipre on October 5, 2010
  4. english

    2. Which of the following is the best reason to use visuals in a research presentation? A)) to illustrate your main point in an engaging manner B)) to illustrate any topic with data in percentages C)) to show different ways of

    asked by dd on April 6, 2015
  1. 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

    asked by grace on October 24, 2010
  2. MAths

    A four-wheel-drive vehicle is transporting an injured hiker to the hospital from a point that is 30 km from the nearest point on a straight road. The hospital is 70 km down that road from that nearest point. If the vehicle can

    asked by Rajesh on December 15, 2015
  3. 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

    asked by Dingo on August 7, 2019
  4. physics

    A 2200 kg car traveling at 8.7 m/s collides with a 2750 kg car that is initially at rest at the stoplight. The cars stick together and move 2.00 m before friction causes them to stop. Determine the coefficient of kinetic friction

    asked by Amy on February 28, 2015

You can view more similar questions or ask a new question.