Ask Question
15 January, 21:11

If r⃗ = bt2i^+ct3j^, where b and c are positive constants, when does the velocity vector make an angle of 45.0∘ with the x - and y-axes?

+4
Answers (1)
  1. 15 January, 21:37
    0
    The displacement function is given by : r = bt2i + ct3j meters

    The velocity function is the derivative of the displacement:

    v = r' = 2bti + 3ct2j meter / second

    Now, for the velocity vector make an angle of 45.0∘ with the x - and y-axes, the i and j components have to be equal:

    2bt = 3ct2 (Now solve for t)

    2bt = t (3ct)

    either t = zero (rejected)

    or t = 2b / 3c seconds (accepted)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “If r⃗ = bt2i^+ct3j^, where b and c are positive constants, when does the velocity vector make an angle of 45.0∘ with the x - and y-axes? ...” in 📗 Chemistry if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers