Calculating Time for Object B to Catch Object A in Constant Velocity Motion

In summary, object A travels at a constant velocity of 2.0 m/s east, while object B travels in the same direction at a constant velocity of 3.0 m/s. If object B starts 1.0 min after object A, the time it takes for object B to catch object A can be found by setting the distances traveled by each object equal to each other. This gives us the equation 2.0t = 3.0(t + 1.0). Solving for t, we get t = 1.2 x 10^2 seconds or 2.0 minutes. This is the time it takes for object B to catch object A.
  • #1
Kandy
27
0
Object A travels at a constant velocity af 2.0 m/s east, and object B travels in the same direction at a constant velocity of 3.0 m/s. If object B starts 1.0 min after object A, how long (time) will it take object B to catch object A?
 
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  • #2
Kandy said:
Object A travels at a constant velocity af 2.0 m/s east, and object B travels in the same direction at a constant velocity of 3.0 m/s. If object B starts 1.0 min after object A, how long (time) will it take object B to catch object A?

You're dealing with constant velocity so you know [itex]d = vt[/itex] applies.

Object A

[tex]d_A = 2.0t[/tex]

Object B

[tex]d_B = 3.0(t + 1.0)[/tex]

Because object B is going to catch object A, the distance will be the same. Can you take it from here?
 
  • #3
I don't quite get it, but this is what I tried:

dB = 3.0(t+1.0)
= 3.0t+3.0

dA = dB
2.0t = 3.0t+3.0
-1.0t = 3.0
t=-3.0

but the answer key shows 1.2 x 10^2 s (2.0 min not -3.0 min)
sorry, but i need more help.
 

1. What is the difference between kinematics and dynamics?

Kinematics is the branch of physics that deals with the study of motion without considering the forces that cause the motion. On the other hand, dynamics is the branch of physics that deals with the study of motion and the forces that cause the motion.

2. What are the three fundamental equations of motion?

The three fundamental equations of motion are displacement (x or Δx), velocity (v or Δv), and acceleration (a or Δa).

3. How are kinematics and dynamics used in real-life applications?

Kinematics and dynamics are used in a wide range of real-life applications, such as designing and analyzing the motion of vehicles, predicting the trajectory of projectiles, and understanding the movement of celestial bodies in space.

4. What is the difference between linear and angular motion?

Linear motion is the movement of an object in a straight line, while angular motion is the movement of an object around a fixed point or axis.

5. How is the concept of inertia related to kinematics and dynamics?

Inertia is the resistance of an object to changes in its state of motion. It is a fundamental concept in both kinematics and dynamics, as it affects an object's velocity and acceleration, and is dependent on the forces acting upon the object.

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