Constant acceleration of rocket car

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SUMMARY

The discussion focuses on a physics problem involving two rocket cars with different constant accelerations. The first car accelerates at 1.2 m/s², while the second car, launched 2 seconds later, accelerates at 7.2 m/s². To determine when the second car catches up to the first, kinematic equations are utilized, specifically the formula for distance under constant acceleration: d = 1/2 a t². The solution involves setting up equations for both cars and solving for the time and distance at which they meet.

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  • Understanding of kinematic equations for constant acceleration
  • Knowledge of basic physics concepts such as acceleration and time
  • Ability to manipulate algebraic equations
  • Familiarity with the concept of relative motion
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  • Study the derivation and application of kinematic equations in physics
  • Learn about relative motion and how it applies to multiple objects in motion
  • Explore examples of problems involving constant acceleration
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This discussion is beneficial for physics students, educators, and anyone interested in understanding motion under constant acceleration, particularly in problem-solving contexts.

andyman21
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A "rocket car" is launched along a long straight track at t=0s. It moves with constant acceleration a1=1.2m/s2. At t=2s a second car is launched with constant acceleration a2=7.2m/s2.

At what time does the second car catch up with the first?

How far down the track do they meet?

I always have problems with these problems because you need to use the kinematics equations and i get confused. Any help would be greatly appreciated.
 
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at constant acceleration, the distance traveled with respect to time is given by:
d = \frac{1}{2} a t^2
note that sometimes the equation needs to be modified to fit the context of your problem :wink:

basically your question requires you to produce two of these equations and solve for t and d
 

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