So what is the time taken? Help me!Thanks

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SUMMARY

The discussion focuses on calculating the time taken to find acceleration using the formula \( a = \frac{{v_f - v_i}}{{t}} \). The user has provided time intervals of 0.1, 0.2, 0.4, and 0.4 seconds for a vehicle running down a slope, with corresponding distances measured via ticker tape. To find acceleration, the average speeds for each interval must be calculated, and the instantaneous speeds can be derived from these averages. The key takeaway is that by graphing the instantaneous speeds, one can effectively determine the acceleration over the specified time intervals.

PREREQUISITES
  • Understanding of basic kinematics and equations of motion
  • Familiarity with calculating average and instantaneous speed
  • Knowledge of graphing techniques for speed vs. time analysis
  • Proficiency in using the formula for acceleration \( a = \frac{{v_f - v_i}}{{t}} \)
NEXT STEPS
  • Learn how to apply the equation of motion \( S = ut + 0.5at^2 \) for different scenarios
  • Research methods for calculating instantaneous speed from average speed data
  • Explore graphing techniques to visualize speed and acceleration over time
  • Study the relationship between distance, speed, and time in physics experiments
USEFUL FOR

Students in physics courses, educators teaching kinematics, and anyone involved in experimental physics seeking to understand motion analysis.

bumbletiger
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If i was running a vehicle down a slope with ticker tape attached to it, running through a ticker timer, and finding the distance of intervals of 5 (0-5, 6-10, 11-15, 16-20) and the time for each interval is 0.1, 0.2, 0.4 and 0.4.. If I already have the starting and final speed, how would I go about finding the time taken, in order for me to actually find the acceleration..Because the formula for acceleration is final speed-starting speed/time taken..

I have this assessment due tomorrow, and I am stuck on just this very thing.
What is the time taken? Help me!

Thanks
 
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Perhaps try using this equation of motion and solving for "a"

S=ut+0.5at2
 
bumbletiger said:
If i was running a vehicle down a slope with ticker tape attached to it, running through a ticker timer, and finding the distance of intervals of 5 (0-5, 6-10, 11-15, 16-20) and the time for each interval is 0.1, 0.2, 0.4 and 0.4.. If I already have the starting and final speed, how would I go about finding the time taken, in order for me to actually find the acceleration..Because the formula for acceleration is final speed-starting speed/time taken..

I have this assessment due tomorrow, and I am stuck on just this very thing.
What is the time taken? Help me!

Thanks

Each time interval is 0.1 seconds long I believe, I think you meant that the time at the END of each interval was 0.1, 0.2 0.3 and 0.4.

The average speed for the first time interval [0-5] is the length of tape, divided by the time interval [0.1] so numerically that works out at 10 x the length of the tape.
he average speed for the first 0.1 seconds is generally taken as the instantaneous speed at time 0.05.

Similar analysis of each other segment produces instantaneous speed at time 0.15, 0.25 and 0.35.

By graphing those, you could calculate the acceleration [or perhaps take the gain in speed from 0.05 to 0.35, divided by the time interval [0.3].
 

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