Suppose the position of an object is given by a vector

Click For Summary
SUMMARY

The position of an object is defined by the vector equation r⃗ = (3.0t²i^ - 6.0t³j^) m. At time t = 2.5 seconds, substituting this value into the equation yields r = 3(2.5)²i - 6(2.5)³j, resulting in r = 18.75i - 73.002j. After rounding to two significant figures, the correct answer is r = 19i - 73j. The initial submission of the answer was marked incorrect, indicating a potential issue with the homework system or input format.

PREREQUISITES
  • Understanding of vector notation and unit vectors (i^ and j^).
  • Knowledge of polynomial functions and their evaluation.
  • Familiarity with significant figures in scientific notation.
  • Basic algebra for manipulating equations.
NEXT STEPS
  • Review vector calculus fundamentals, focusing on position vectors.
  • Study the concept of significant figures and rounding rules in physics.
  • Practice evaluating polynomial expressions at specific values.
  • Explore common pitfalls in homework submission systems and how to troubleshoot them.
USEFUL FOR

Students in physics or engineering courses, particularly those dealing with kinematics and vector analysis, as well as educators looking to clarify homework submission issues.

sunnyday
Messages
6
Reaction score
0

Homework Statement


Suppose the position of an object is given by r⃗ = (3.0t2i^ - 6.0t3j^)m. Where t in seconds.

Determine r⃗ at time t = 2.5 s. Express your answer using two significant figures. Express your answer in terms of the unit vectors i^ and j^.

Homework Equations


plugging in 2.5 seconds to the r equation

The Attempt at a Solution


r = 3(2.5)^2i-6(2.5)^3j -> 18.75i-73.002j -> 19i-73j

When I put this answer in my homework, it says it's wrong. I even tried (19i-73j) and it says it's wrong.
 
Physics news on Phys.org
sunnyday said:
6(2.5)^3
Yes.
sunnyday said:
73.002
No.
 
  • Like
Likes   Reactions: sunnyday
haruspex said:
Yes.

No.
oh what. nvm. that was so weird. thank u so much!
 

Similar threads

Replies
6
Views
6K
  • · Replies 2 ·
Replies
2
Views
5K
Replies
2
Views
3K
  • · Replies 30 ·
2
Replies
30
Views
2K
  • · Replies 2 ·
Replies
2
Views
17K
Replies
3
Views
2K
  • · Replies 17 ·
Replies
17
Views
2K
Replies
18
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 14 ·
Replies
14
Views
7K