physics, dynamics

Car A starts from rest at t = 0 and travels along a straight road with a constant
acceleration of 2 m/s2 until it reaches a speed of 27 m/s. Afterwards it maintains this
speed. Also, when t = 0, car B located 2000 m down the road is traveling towards A at a
constant speed of 20 m/s. Determine the distance traveled by car A when they pass each
other.

  1. 👍 0
  2. 👎 1
  3. 👁 2,043
  1. for car A
    initial velocity u=0m/sec
    acceleration=a=2m/s2
    speed attained by A =27 m/sec
    time taken by A to attain the speed =t
    t=[v-u]/a=[27-0]/2=13.5m/sec2

    distance traveled by car A in this time =s=ut+1/2at2
    s= 0+0.5*2*13.5^2=182.25m
    in this time distance traveled by B towards A=27*20/2=270m
    so distance remaining between A and B after 27/2sec=2000-[182.25+270]=1547.75m
    relative speed between A and B=27-[-20]=47m/sec
    as they are moving in opposite direction.
    now time taken by A to cross B =1547.75/47=33sec
    in this time distance traveled by A=27*33=891m
    hence the distances traveled by car A when they pass each
    other=182.25+891=1073.25 m

    1. 👍 0
    2. 👎 2
  2. Two cars are traveling along a straight road. Car a maintains a constant speed of 89 km/hr and car b maintains a constant speed of 119 km/hr. at t=0 car b is behind 38km from car a. How far will car a travel from t =0 before it is overtaken by car b. how long from t=0 will it take for this to happen

    1. 👍 0
    2. 👎 0
  3. morty let's go on an adventure

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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

  2. 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

  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

  4. Physics

    A 1000-kg car is driving toward the north along a straight road at a speed of 20.0 m/s. The driver applies the brakes and the car comes to a rest in a distance of 140 m. What is the constant force applied to the car to bring it to

  1. Physics

    A car is stopped at a traffic light. It then travels along a straight road so that its distance from the light is given by x(t) = bt2 - ct3, where b = 2.60 m/s2 and c = 0.150 m/s3. (a) Calculate the average velocity of the car for

  2. physics

    a car travels on a straight road. a) starting from rest, the car is going 44 ft/s (30 mi/h) at the end of 5.0 s. What is the car's average acceleration in ft/s^2 b) in 4.0 more seconds, the car is going 88 ft/s (60 mi/h). what is

  3. physics

    A car starts from rest and travels for 5.5 s with a uniform deceleration of 1.3 m/s 2 . What is the final velocity of the car? Answer in units of m/s

  4. physics

    A car travels along a straight stretch of road. It proceeds for 11.2 mi at 52 mi/h, then 23.2 mi at 40 mi/h, and finally 48.2 mi at 31.9 mi/h. What is the car’s average velocity during the entire trip?

  1. 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

  2. physics college

    An antelope moving with constant acceleration covers the distance between two points 70.0 m apart in 7.00 s. Its speed as it passes the second point is 15.0 m/s. (a) What is its speed at the first point? (b) What is its

  3. F/maths

    X, Y and Z are three points on a straight road.A car passes X with a speed of 5m/s and travels from X to Y with a constant acceleration of 2m/s^2. The car then moves with a constant retardation of 3.5m/s^2 from Y to Z and comes to

  4. physics

    A car of mass 1200 kg starts from rest, accelerates uniformly to a speed of 4.0 m/s in 2.0 s and continues moving at this constant speed in a horizontal straight line for an additional 10 s. The brakes are then applied and the car

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