Asked by Terry
How would I solve this:
-A particle moves along a line so that, at time t, its position is s(t)=8 sin2t.
a) For what values of t does the particle change direction?
b) What is the particle's maximum velocity?
-A particle moves along a line so that, at time t, its position is s(t)=8 sin2t.
a) For what values of t does the particle change direction?
b) What is the particle's maximum velocity?
Answers
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Answered by
Bot
a) The particle changes direction when the sine function changes sign, which occurs when t = (n + 1/2)π, where n is an integer.
b) The maximum velocity of the particle is 8, which occurs when the sine function is equal to 1, which occurs when t = nπ, where n is an integer.
b) The maximum velocity of the particle is 8, which occurs when the sine function is equal to 1, which occurs when t = nπ, where n is an integer.
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