Max Acceleration in Linearly Varying Speed: Solving for a0 and K

In summary, an advanced kinematic problem involves analyzing the motion of objects in three dimensions, using advanced mathematical equations and techniques. To solve these problems, one must identify and understand the given information, apply equations of motion and mathematical techniques, and check the final answer for reasonableness. These problems have various applications in fields such as engineering, physics, and robotics, and there are online resources and tools available to assist with solving them. However, a solid understanding of the underlying concepts is still important for effectively using these tools.
  • #1
civeng999
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Homework Statement


The driver of a vehicle on a level road determined that she could increase her speed from rest to 50 mph in 35 sec and from rest to 65 mph in 95 sec. Assume that acceleration varies linearly with speed (with a non zero intercept). Determine the max acceleration in each case.


Homework Equations



a(v) = a0 + Kv

The Attempt at a Solution



a(0) = a0
a(vmax) = amax
 
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  • #2
Ok, so a(v)=dv/dt. You forgot that equation. Can you solve dv/dt=a0+Kv?
 

1. What is an advanced kinematic problem?

An advanced kinematic problem is a type of problem that involves analyzing the motion of objects in three dimensions, taking into account their velocity, acceleration, and position. These problems often require the use of advanced mathematical equations and techniques to solve.

2. How do I approach solving an advanced kinematic problem?

The first step in solving an advanced kinematic problem is to identify and understand the given information, such as initial and final positions, velocities, and accelerations. Then, you can use equations of motion and mathematical techniques, such as vector addition and differentiation, to solve for the unknown variables.

3. What are some common applications of advanced kinematic problems?

Advanced kinematic problems are frequently used in fields such as engineering, physics, and robotics to analyze the motion of objects and systems. They can also be used to predict the trajectory of projectiles, model the movement of planets and celestial bodies, and design efficient transportation systems.

4. What are some tips for solving advanced kinematic problems?

One helpful tip for solving advanced kinematic problems is to draw a diagram to visualize the problem and label all given information and unknown variables. It is also important to carefully choose and apply the appropriate equations for the problem and check your final answer for reasonableness.

5. Are there any online resources or tools available for solving advanced kinematic problems?

Yes, there are various online resources and tools, such as calculators and simulations, that can assist with solving advanced kinematic problems. However, it is important to also have a solid understanding of the underlying concepts and equations to effectively use these tools.

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