Calculating Final Speed of a Car with Acceleration - Homework Solution

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SUMMARY

The final speed of the car after accelerating for 35 seconds at a rate of 0.26 m/s² from an initial speed of 90 km/h (25 m/s) is calculated to be 34.1 m/s, which converts to 123 km/h. The acceleration over the time period results in an increase of 9.1 m/s. The solution confirms the correct application of kinematic equations for uniform acceleration.

PREREQUISITES
  • Understanding of kinematic equations for uniformly accelerated motion
  • Knowledge of unit conversion between kilometers per hour and meters per second
  • Familiarity with basic physics concepts such as speed, acceleration, and time
  • Ability to perform arithmetic operations with units
NEXT STEPS
  • Study the derivation of kinematic equations for uniformly accelerated motion
  • Learn about unit conversions, specifically between km/h and m/s
  • Explore real-world applications of acceleration in automotive physics
  • Investigate the effects of different acceleration rates on vehicle performance
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for clear examples of acceleration calculations in automotive contexts.

cbrowne
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Could some one please confirm my answer. Thanks

Homework Statement



A car was moving on the highway at a speed of 90 km/h. The driver then stepped
on the gas and started to accelerate uniformly at a rate of 0.26 m/s^2, and he was
able to overtake a truck in 35 s.

What was the final speed of the car after this
time?

Homework Equations





The Attempt at a Solution



90km = 25 m/s

0.26m/s^2 x 35sec = 9.1 m/s

Therefore, the car was originally traveling @ 25m/s and with acceleration it gained 9.1 m/s.


25 m/s + 9.1 m/s = 34.1 m/s--- converted to 123 km/h
 
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yes its correct. Leave your answer in m/s please. Its the S.I. unit for length and time.
 

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