Difficulty with a basic motion problem

In summary, the conversation discusses solving for average velocity and acceleration using the given position function. It also mentions the use of the derivative to find instantaneous velocity and acceleration. The formulas for average velocity and acceleration are provided, as well as the reminder that velocity is the derivative of position and acceleration is the derivative of velocity.
  • #1
frankfjf
168
0
This time I'm having trouble with this problem:

If the position of an object is given by x = 2.30t^5, where x is measured in meters and t in seconds, find (a) the average velocity and (b) the average acceleration between t = 1.0 s and t = 2.0 s. Then find (c) the instantaneous velocity v and (d) the instantaneous acceleration a at t = 1.0 s. Next find (e) v and (f) a at t = 2.0 s.

I have solved a, but am uncertain how to obtain the two velocities needed for b according to the formula for average velocity. What do I need to do?
 
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  • #2
the velocity function is the time-derivitive of the location function.

the acceleration function is the time-derivitive of the velocity function.
 
  • #3
the average velocity forumula is [f(b)-f(a)]/b-a, the avg. acceleration formula is essentially the same except that for the values of f(b) and f(a) you need to take the derrivative of the position equation to give the velocity values
 
  • #4
aud11888 means that average velocity = [tex] \frac{x(t_b) - x(t_a)} {t_b - t_a}[/tex]
 

FAQ: Difficulty with a basic motion problem

Why do I struggle with solving basic motion problems?

Difficulty with basic motion problems can stem from a lack of understanding of key concepts, such as velocity, acceleration, and displacement. It could also be due to a lack of practice or not using the correct equations.

How can I improve my ability to solve basic motion problems?

One way to improve is by reviewing the fundamental equations and concepts related to motion, such as the equations of motion and the relationship between distance, time, and velocity. Additionally, practice solving a variety of problems to develop a better understanding of the concepts.

What are some common mistakes people make when solving basic motion problems?

Some common mistakes include using the wrong equation, not considering the direction of motion, and not properly converting units. It is also important to pay attention to the given information and what is being asked in the problem.

How can I check if my answer to a basic motion problem is correct?

You can check your answer by plugging it back into the original equation and making sure it satisfies all the given information in the problem. You can also use estimation to see if your answer is reasonable.

Are there any tips or tricks for solving basic motion problems?

One tip is to draw a diagram to visualize the problem and identify the given information. Another useful technique is to break down the problem into smaller, simpler parts and then combine the solutions. Finally, make sure to pay attention to units and be consistent in your calculations.

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