Help with Newton's Law Acceleration Problem

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SUMMARY

The discussion centers on solving a Newton's Law acceleration problem involving a block of ice subjected to a constant horizontal force of 83.0 N on a frictionless surface. The block starts from rest, moves 10.0 m in 5.30 seconds, and the user attempts to calculate the distance it travels in the subsequent 4.20 seconds after the force is removed. The correct approach involves calculating the initial velocity (Vi) as 1.88 m/s and using it to find the distance traveled during the next time interval, leading to the conclusion that the user miscalculated the acceleration and initial conditions.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Familiarity with kinematic equations
  • Basic algebra for solving equations
  • Concept of initial and final velocity in motion problems
NEXT STEPS
  • Review kinematic equations for uniformly accelerated motion
  • Practice problems involving frictionless surfaces and constant forces
  • Study the concept of initial velocity and its impact on motion
  • Explore advanced topics in dynamics, such as force and acceleration relationships
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Students studying physics, particularly those focusing on mechanics and kinematics, as well as educators seeking to clarify concepts related to Newton's Laws and motion problems.

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Homework Statement



A dockworker applies a constant horizontal force of 83.0 to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves a distance 10.0 in a time 5.30 .

If the worker stops pushing at the end of 5.30 , how far does the block move in the next 4.20?

Homework Equations



d=v(i)t+.5at^2
a=(vf-vi)/t

The Attempt at a Solution



I solved Vi by dividing distance/time, and then solved for acceleration (-.449235) by dividing (Vf-Vo)/t with Vf=0 and Vi=1.88. I used 4.20 as "t". I plugged the results into d=v(i)t+.5at^2 and got 3.96 as an answer, however masteringphysics said I was wrong. What am I doing wrong??
 
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vi stands for vinitial which is ZERO in this case as the block starts from rest. Given that you can solve for a and then the velocity at 5.30 secs
 

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