Finding the acceleration of a car based on a velocity vs time plot

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SUMMARY

The discussion centers on calculating the average acceleration of a car using a velocity vs. time plot. The correct approach involves using the formula for average acceleration, Δv/Δt, where Δv is the change in velocity and Δt is the change in time. To find the average acceleration in specific gears, one must identify the initial and final points corresponding to each gear's flat spots on the graph. For example, to determine the average acceleration in second gear, the initial point should be at the start of second gear and the final point at the end of second gear.

PREREQUISITES
  • Understanding of velocity vs. time graphs
  • Knowledge of the formula for average acceleration (Δv/Δt)
  • Familiarity with identifying key points on a graph
  • Basic concepts of gear mechanics in vehicles
NEXT STEPS
  • Study how to interpret velocity vs. time graphs in physics
  • Learn about calculating slopes on graphs for various applications
  • Explore the relationship between gear changes and acceleration
  • Investigate the effects of different driving conditions on acceleration
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Students studying physics, automotive engineers, and anyone interested in understanding vehicle dynamics and acceleration calculations.

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Homework Statement


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Homework Equations


Unsure, maybe v2-v1/t2-t1?

The Attempt at a Solution


I assumed taking the difference between the final point in the graph and the first one and got 1.53m/s2 as an answer, but I'm not sure at all. Should i take the differences between all the gears and then average them?
 
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Remember that acceleration is the slope on a velocity/time graph. You've got the right equation, average acceleration is Δv/Δt. If you found the slope between the first point and the final point, you'd find the average acceleration across all 5 gears. However, the question asks for the average acceleration in specific gears.

For part a, for example, which asks for the average acceleration in second gear, you'll want to make your initial point at the start of 2nd gear (at the first flat spot) and your final point at the end of 2nd gear (the 2nd flat spot). The slope between those two points will give the average acceleration in gear 2.
 

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