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Question: Answered & Verified by Expert
The position of a particle is given by $r=3.0t-2.0{{t}^{2}}\hat{j}+4.0\hat{k}$ where t is in seconds and the coefficients have the proper units for r to be in meters. Find the v and a of the particle?
ChemistryMotion In Two DimensionsNEET
Options:
  • A $a\left( t \right)=-~4.0\hat{j}~,~v\left( t \right)=~3.0\hat{i}+3.0\hat{j}$
  • B $a\left( t \right)=~5.0\hat{j}~,~v\left( t \right)=~4.0\hat{i}+4.0\hat{j}$
  • C $a\left( t \right)=~-4.0\hat{j}~,~v\left( t \right)=~3.0\hat{i}-4.0\hat{j}$
  • D $a\left( t \right)=~-5.0\hat{j}~,~v\left( t \right)=~3.0\hat{i}+4.0\hat{j}$
Solution:
1551 Upvotes Verified Answer
The correct answer is: $a\left( t \right)=~-4.0\hat{j}~,~v\left( t \right)=~3.0\hat{i}-4.0\hat{j}$
Correct Option is : (C)
$a\left( t \right)=~-4.0\hat{j}~,~v\left( t \right)=~3.0\hat{i}-4.0\hat{j}$

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