Calculating Acceleration from Distance and Time: Is This Solution Correct?

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SUMMARY

The discussion focuses on calculating the acceleration of a body that starts from rest and covers a distance of 150 meters during the 8th second of its motion. The correct formula applied is s = ut + 1/2 at², leading to the calculation of acceleration as a = (2 * 150) / 64, resulting in an acceleration of 4.68 m/s². The solution is confirmed as correct, and the use of a velocity-time (v-t) diagram is suggested for verification.

PREREQUISITES
  • Understanding of kinematic equations, specifically s = ut + 1/2 at²
  • Basic knowledge of uniform acceleration concepts
  • Familiarity with velocity-time diagrams
  • Ability to perform algebraic calculations involving distance and time
NEXT STEPS
  • Study the derivation and application of kinematic equations in physics
  • Learn how to construct and interpret velocity-time diagrams
  • Explore real-world applications of uniform acceleration in mechanics
  • Investigate advanced topics in motion, such as projectile motion and circular motion
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Students studying physics, educators teaching kinematics, and anyone interested in understanding motion under uniform acceleration.

abhavi
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Homework Statement



A body starts from rest along the straight line with uniform acceleration .it covers a distance of 150 m during 8th second of its motion calculate acceralation of body

Homework Equations



s= ut+1/2 at^2

The Attempt at a Solution



u = 0 ;
a = (2*150)/64 = 4.68m/s^2;
Is this right or wrong?please asnwer me as i am posting on behalf of my sister.
 
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That's it.
You can verify it by drawing the v-t diagram... the area is the displacement, the slope is the acceleration.
 

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