118k views
2 votes
(20 Points) Given a particle's position is x = -t^2 + 2t, find the total distance it travels over [0, 2].

Answer is 2 m.

1 Answer

3 votes

Answer:

t = 2 or t = 0

Explanation:

Solve for t over the real numbers:

2 t - t^2 = 0

Factor t and constant terms from the left hand side:

-t (t - 2) = 0

Multiply both sides by -1:

t (t - 2) = 0

Split into two equations:

t - 2 = 0 or t = 0

Add 2 to both sides:

Answer: t = 2 or t = 0

User Gthanop
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories